Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 293.9 | ||
Character | \(\chi\) | \(=\) | 378.293 |
Dual form | 378.2.z.a.209.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.342020 | + | 0.939693i | −0.241845 | + | 0.664463i | ||||
\(3\) | 0.288948 | + | 1.70778i | 0.166824 | + | 0.985987i | ||||
\(4\) | −0.766044 | − | 0.642788i | −0.383022 | − | 0.321394i | ||||
\(5\) | −0.675752 | + | 3.83238i | −0.302205 | + | 1.71389i | 0.334171 | + | 0.942512i | \(0.391544\pi\) |
−0.636376 | + | 0.771379i | \(0.719567\pi\) | |||||||
\(6\) | −1.70361 | − | 0.312573i | −0.695497 | − | 0.127607i | ||||
\(7\) | −0.478059 | − | 2.60220i | −0.180689 | − | 0.983540i | ||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | −2.83302 | + | 0.986917i | −0.944340 | + | 0.328972i | ||||
\(10\) | −3.37014 | − | 1.94575i | −1.06573 | − | 0.615300i | ||||
\(11\) | −2.70819 | + | 0.477527i | −0.816550 | + | 0.143980i | −0.566298 | − | 0.824201i | \(-0.691625\pi\) |
−0.250253 | + | 0.968181i | \(0.580514\pi\) | |||||||
\(12\) | 0.876392 | − | 1.49397i | 0.252993 | − | 0.431271i | ||||
\(13\) | 0.574003 | + | 1.57706i | 0.159200 | + | 0.437398i | 0.993489 | − | 0.113930i | \(-0.0363438\pi\) |
−0.834289 | + | 0.551327i | \(0.814122\pi\) | |||||||
\(14\) | 2.60878 | + | 0.440778i | 0.697225 | + | 0.117803i | ||||
\(15\) | −6.74011 | − | 0.0466780i | −1.74029 | − | 0.0120522i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −2.48502 | + | 4.30419i | −0.602707 | + | 1.04392i | 0.389703 | + | 0.920941i | \(0.372578\pi\) |
−0.992409 | + | 0.122978i | \(0.960756\pi\) | |||||||
\(18\) | 0.0415504 | − | 2.99971i | 0.00979353 | − | 0.707039i | ||||
\(19\) | 6.24771 | − | 3.60712i | 1.43332 | − | 0.827529i | 0.435950 | − | 0.899971i | \(-0.356412\pi\) |
0.997373 | + | 0.0724417i | \(0.0230791\pi\) | |||||||
\(20\) | 2.98106 | − | 2.50141i | 0.666585 | − | 0.559332i | ||||
\(21\) | 4.30585 | − | 1.56832i | 0.939614 | − | 0.342235i | ||||
\(22\) | 0.477527 | − | 2.70819i | 0.101809 | − | 0.577388i | ||||
\(23\) | 3.43594 | − | 4.09479i | 0.716443 | − | 0.853823i | −0.277837 | − | 0.960628i | \(-0.589618\pi\) |
0.994280 | + | 0.106805i | \(0.0340620\pi\) | |||||||
\(24\) | 1.10413 | + | 1.33451i | 0.225379 | + | 0.272405i | ||||
\(25\) | −9.53201 | − | 3.46937i | −1.90640 | − | 0.693874i | ||||
\(26\) | −1.67827 | −0.329136 | ||||||||
\(27\) | −2.50403 | − | 4.55300i | −0.481901 | − | 0.876226i | ||||
\(28\) | −1.30645 | + | 2.30069i | −0.246896 | + | 0.434790i | ||||
\(29\) | −0.869378 | + | 2.38860i | −0.161439 | + | 0.443551i | −0.993867 | − | 0.110583i | \(-0.964728\pi\) |
0.832427 | + | 0.554134i | \(0.186951\pi\) | |||||||
\(30\) | 2.34912 | − | 6.31767i | 0.428888 | − | 1.15344i | ||||
\(31\) | −5.22704 | + | 6.22935i | −0.938804 | + | 1.11882i | 0.0539358 | + | 0.998544i | \(0.482823\pi\) |
−0.992740 | + | 0.120279i | \(0.961621\pi\) | |||||||
\(32\) | −0.984808 | − | 0.173648i | −0.174091 | − | 0.0306970i | ||||
\(33\) | −1.59804 | − | 4.48701i | −0.278182 | − | 0.781088i | ||||
\(34\) | −3.19468 | − | 3.80728i | −0.547884 | − | 0.652942i | ||||
\(35\) | 10.2957 | − | 0.0736588i | 1.74029 | − | 0.0124506i | ||||
\(36\) | 2.80460 | + | 1.06501i | 0.467433 | + | 0.177501i | ||||
\(37\) | −0.177172 | + | 0.306871i | −0.0291269 | + | 0.0504492i | −0.880221 | − | 0.474563i | \(-0.842606\pi\) |
0.851095 | + | 0.525012i | \(0.175939\pi\) | |||||||
\(38\) | 1.25274 | + | 7.10463i | 0.203221 | + | 1.15252i | ||||
\(39\) | −2.52741 | + | 1.43596i | −0.404710 | + | 0.229937i | ||||
\(40\) | 1.33097 | + | 3.65681i | 0.210445 | + | 0.578193i | ||||
\(41\) | 3.97955 | − | 1.44844i | 0.621502 | − | 0.226208i | −0.0120264 | − | 0.999928i | \(-0.503828\pi\) |
0.633528 | + | 0.773719i | \(0.281606\pi\) | |||||||
\(42\) | 0.00104912 | + | 4.58258i | 0.000161883 | + | 0.707107i | ||||
\(43\) | 1.65693 | + | 9.39692i | 0.252680 | + | 1.43302i | 0.801959 | + | 0.597379i | \(0.203791\pi\) |
−0.549280 | + | 0.835638i | \(0.685098\pi\) | |||||||
\(44\) | 2.38154 | + | 1.37498i | 0.359031 | + | 0.207287i | ||||
\(45\) | −1.86782 | − | 11.5241i | −0.278439 | − | 1.71791i | ||||
\(46\) | 2.67269 | + | 4.62923i | 0.394066 | + | 0.682543i | ||||
\(47\) | −5.79089 | + | 4.85913i | −0.844687 | + | 0.708777i | −0.958613 | − | 0.284712i | \(-0.908102\pi\) |
0.113926 | + | 0.993489i | \(0.463657\pi\) | |||||||
\(48\) | −1.63166 | + | 0.581111i | −0.235510 | + | 0.0838761i | ||||
\(49\) | −6.54292 | + | 2.48801i | −0.934703 | + | 0.355430i | ||||
\(50\) | 6.52028 | − | 7.77057i | 0.922107 | − | 1.09892i | ||||
\(51\) | −8.06864 | − | 3.00019i | −1.12984 | − | 0.420110i | ||||
\(52\) | 0.574003 | − | 1.57706i | 0.0795998 | − | 0.218699i | ||||
\(53\) | − | 6.43428i | − | 0.883817i | −0.897060 | − | 0.441908i | \(-0.854302\pi\) | ||
0.897060 | − | 0.441908i | \(-0.145698\pi\) | |||||||
\(54\) | 5.13485 | − | 0.795801i | 0.698765 | − | 0.108295i | ||||
\(55\) | − | 10.7015i | − | 1.44299i | ||||||
\(56\) | −1.71511 | − | 2.01454i | −0.229192 | − | 0.269205i | ||||
\(57\) | 7.96542 | + | 9.62744i | 1.05505 | + | 1.27519i | ||||
\(58\) | −1.94720 | − | 1.63390i | −0.255680 | − | 0.214541i | ||||
\(59\) | −0.927668 | + | 5.26107i | −0.120772 | + | 0.684932i | 0.862957 | + | 0.505277i | \(0.168610\pi\) |
−0.983730 | + | 0.179656i | \(0.942502\pi\) | |||||||
\(60\) | 5.13322 | + | 4.36822i | 0.662696 | + | 0.563934i | ||||
\(61\) | 3.29907 | + | 3.93168i | 0.422402 | + | 0.503400i | 0.934714 | − | 0.355400i | \(-0.115655\pi\) |
−0.512312 | + | 0.858799i | \(0.671211\pi\) | |||||||
\(62\) | −4.06592 | − | 7.04237i | −0.516372 | − | 0.894382i | ||||
\(63\) | 3.92251 | + | 6.90028i | 0.494190 | + | 0.869354i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −6.43177 | + | 1.13409i | −0.797763 | + | 0.140667i | ||||
\(66\) | 4.76297 | + | 0.0329855i | 0.586281 | + | 0.00406023i | ||||
\(67\) | −1.47671 | + | 0.537479i | −0.180409 | + | 0.0656635i | −0.430645 | − | 0.902521i | \(-0.641714\pi\) |
0.250236 | + | 0.968185i | \(0.419492\pi\) | |||||||
\(68\) | 4.67032 | − | 1.69986i | 0.566359 | − | 0.206138i | ||||
\(69\) | 7.98581 | + | 4.68464i | 0.961378 | + | 0.563965i | ||||
\(70\) | −3.45211 | + | 9.69996i | −0.412606 | + | 1.15937i | ||||
\(71\) | 6.90603 | + | 3.98720i | 0.819595 | + | 0.473194i | 0.850277 | − | 0.526336i | \(-0.176434\pi\) |
−0.0306816 | + | 0.999529i | \(0.509768\pi\) | |||||||
\(72\) | −1.96001 | + | 2.27120i | −0.230989 | + | 0.267664i | ||||
\(73\) | −1.45847 | + | 0.842046i | −0.170701 | + | 0.0985541i | −0.582916 | − | 0.812532i | \(-0.698088\pi\) |
0.412216 | + | 0.911086i | \(0.364755\pi\) | |||||||
\(74\) | −0.227768 | − | 0.271443i | −0.0264775 | − | 0.0315546i | ||||
\(75\) | 3.17066 | − | 17.2810i | 0.366117 | − | 1.99544i | ||||
\(76\) | −7.10463 | − | 1.25274i | −0.814957 | − | 0.143699i | ||||
\(77\) | 2.53730 | + | 6.81898i | 0.289152 | + | 0.777094i | ||||
\(78\) | −0.484933 | − | 2.86612i | −0.0549078 | − | 0.324524i | ||||
\(79\) | 15.6048 | + | 5.67967i | 1.75567 | + | 0.639013i | 0.999875 | − | 0.0157919i | \(-0.00502692\pi\) |
0.755798 | + | 0.654805i | \(0.227249\pi\) | |||||||
\(80\) | −3.89150 | −0.435083 | ||||||||
\(81\) | 7.05199 | − | 5.59191i | 0.783554 | − | 0.621323i | ||||
\(82\) | 4.23495i | 0.467672i | ||||||||
\(83\) | 3.91696 | + | 1.42566i | 0.429943 | + | 0.156486i | 0.547921 | − | 0.836530i | \(-0.315419\pi\) |
−0.117979 | + | 0.993016i | \(0.537641\pi\) | |||||||
\(84\) | −4.30657 | − | 1.56635i | −0.469885 | − | 0.170903i | ||||
\(85\) | −14.8160 | − | 12.4321i | −1.60702 | − | 1.34845i | ||||
\(86\) | −9.39692 | − | 1.65693i | −1.01330 | − | 0.178671i | ||||
\(87\) | −4.33040 | − | 0.794527i | −0.464268 | − | 0.0851822i | ||||
\(88\) | −2.10660 | + | 1.76765i | −0.224564 | + | 0.188432i | ||||
\(89\) | 2.32657 | + | 4.02974i | 0.246616 | + | 0.427152i | 0.962585 | − | 0.270981i | \(-0.0873480\pi\) |
−0.715969 | + | 0.698133i | \(0.754015\pi\) | |||||||
\(90\) | 11.4680 | + | 2.18630i | 1.20883 | + | 0.230456i | ||||
\(91\) | 3.82942 | − | 2.24760i | 0.401432 | − | 0.235612i | ||||
\(92\) | −5.26416 | + | 0.928214i | −0.548827 | + | 0.0967730i | ||||
\(93\) | −12.1487 | − | 7.12668i | −1.25976 | − | 0.739002i | ||||
\(94\) | −2.58549 | − | 7.10357i | −0.266673 | − | 0.732678i | ||||
\(95\) | 9.60193 | + | 26.3811i | 0.985137 | + | 2.70664i | ||||
\(96\) | 0.0119949 | − | 1.73201i | 0.00122422 | − | 0.176772i | ||||
\(97\) | −8.44682 | + | 1.48940i | −0.857645 | + | 0.151226i | −0.585144 | − | 0.810929i | \(-0.698962\pi\) |
−0.272501 | + | 0.962155i | \(0.587851\pi\) | |||||||
\(98\) | −0.100156 | − | 6.99928i | −0.0101173 | − | 0.707034i | ||||
\(99\) | 7.20107 | − | 4.02560i | 0.723735 | − | 0.404588i | ||||
\(100\) | 5.07188 | + | 8.78475i | 0.507188 | + | 0.878475i | ||||
\(101\) | 1.34123 | − | 1.12543i | 0.133457 | − | 0.111984i | −0.573616 | − | 0.819125i | \(-0.694460\pi\) |
0.707073 | + | 0.707141i | \(0.250015\pi\) | |||||||
\(102\) | 5.57889 | − | 6.55592i | 0.552392 | − | 0.649133i | ||||
\(103\) | −2.90951 | − | 0.513024i | −0.286682 | − | 0.0505498i | 0.0284578 | − | 0.999595i | \(-0.490940\pi\) |
−0.315140 | + | 0.949045i | \(0.602051\pi\) | |||||||
\(104\) | 1.28563 | + | 1.07877i | 0.126066 | + | 0.105782i | ||||
\(105\) | 3.10070 | + | 17.5614i | 0.302598 | + | 1.71382i | ||||
\(106\) | 6.04625 | + | 2.20065i | 0.587264 | + | 0.213746i | ||||
\(107\) | 6.80171i | 0.657546i | 0.944409 | + | 0.328773i | \(0.106635\pi\) | ||||
−0.944409 | + | 0.328773i | \(0.893365\pi\) | |||||||
\(108\) | −1.00841 | + | 5.09736i | −0.0970347 | + | 0.490494i | ||||
\(109\) | 14.3654 | 1.37596 | 0.687979 | − | 0.725731i | \(-0.258498\pi\) | ||||
0.687979 | + | 0.725731i | \(0.258498\pi\) | |||||||
\(110\) | 10.0561 | + | 3.66013i | 0.958813 | + | 0.348980i | ||||
\(111\) | −0.575261 | − | 0.213901i | −0.0546013 | − | 0.0203026i | ||||
\(112\) | 2.47966 | − | 0.922664i | 0.234305 | − | 0.0871835i | ||||
\(113\) | 3.25368 | + | 0.573711i | 0.306080 | + | 0.0539702i | 0.324579 | − | 0.945859i | \(-0.394778\pi\) |
−0.0184986 | + | 0.999829i | \(0.505889\pi\) | |||||||
\(114\) | −11.7712 | + | 4.19227i | −1.10247 | + | 0.392642i | ||||
\(115\) | 13.3710 | + | 15.9349i | 1.24685 | + | 1.48594i | ||||
\(116\) | 2.20134 | − | 1.27095i | 0.204390 | − | 0.118004i | ||||
\(117\) | −3.18259 | − | 3.90134i | −0.294230 | − | 0.360679i | ||||
\(118\) | −4.62650 | − | 2.67111i | −0.425904 | − | 0.245896i | ||||
\(119\) | 12.3884 | + | 4.40888i | 1.13564 | + | 0.404161i | ||||
\(120\) | −5.86045 | + | 3.32963i | −0.534983 | + | 0.303952i | ||||
\(121\) | −3.23035 | + | 1.17575i | −0.293669 | + | 0.106887i | ||||
\(122\) | −4.82291 | + | 1.75540i | −0.436646 | + | 0.158926i | ||||
\(123\) | 3.62350 | + | 6.37768i | 0.326720 | + | 0.575056i | ||||
\(124\) | 8.00829 | − | 1.41208i | 0.719166 | − | 0.126808i | ||||
\(125\) | 10.0085 | − | 17.3352i | 0.895184 | − | 1.55050i | ||||
\(126\) | −7.82572 | + | 1.32592i | −0.697171 | + | 0.118122i | ||||
\(127\) | 6.06645 | + | 10.5074i | 0.538310 | + | 0.932381i | 0.998995 | + | 0.0448173i | \(0.0142706\pi\) |
−0.460685 | + | 0.887564i | \(0.652396\pi\) | |||||||
\(128\) | 0.642788 | + | 0.766044i | 0.0568149 | + | 0.0677094i | ||||
\(129\) | −15.5691 | + | 5.54489i | −1.37078 | + | 0.488200i | ||||
\(130\) | 1.13409 | − | 6.43177i | 0.0994667 | − | 0.564103i | ||||
\(131\) | −17.1170 | − | 14.3629i | −1.49552 | − | 1.25489i | −0.887362 | − | 0.461073i | \(-0.847465\pi\) |
−0.608157 | − | 0.793817i | \(-0.708091\pi\) | |||||||
\(132\) | −1.66003 | + | 4.46445i | −0.144487 | + | 0.388580i | ||||
\(133\) | −12.3732 | − | 14.5334i | −1.07289 | − | 1.26020i | ||||
\(134\) | − | 1.57148i | − | 0.135755i | ||||||
\(135\) | 19.1409 | − | 6.51969i | 1.64739 | − | 0.561126i | ||||
\(136\) | 4.97005i | 0.426178i | ||||||||
\(137\) | −4.31074 | + | 11.8437i | −0.368292 | + | 1.01187i | 0.607719 | + | 0.794152i | \(0.292085\pi\) |
−0.976011 | + | 0.217721i | \(0.930138\pi\) | |||||||
\(138\) | −7.13343 | + | 5.90196i | −0.607238 | + | 0.502408i | ||||
\(139\) | 8.45500 | − | 10.0763i | 0.717144 | − | 0.854659i | −0.277206 | − | 0.960810i | \(-0.589409\pi\) |
0.994350 | + | 0.106152i | \(0.0338529\pi\) | |||||||
\(140\) | −7.93429 | − | 6.56150i | −0.670570 | − | 0.554548i | ||||
\(141\) | −9.97158 | − | 8.48552i | −0.839759 | − | 0.714610i | ||||
\(142\) | −6.10875 | + | 5.12585i | −0.512634 | + | 0.430151i | ||||
\(143\) | −2.30760 | − | 3.99688i | −0.192971 | − | 0.334236i | ||||
\(144\) | −1.46387 | − | 2.61860i | −0.121989 | − | 0.218217i | ||||
\(145\) | −8.56652 | − | 4.94588i | −0.711411 | − | 0.410733i | ||||
\(146\) | −0.292440 | − | 1.65851i | −0.0242025 | − | 0.137259i | ||||
\(147\) | −6.13954 | − | 10.4550i | −0.506380 | − | 0.862310i | ||||
\(148\) | 0.332974 | − | 0.121193i | 0.0273703 | − | 0.00996198i | ||||
\(149\) | −0.202016 | − | 0.555033i | −0.0165498 | − | 0.0454701i | 0.931143 | − | 0.364655i | \(-0.118813\pi\) |
−0.947692 | + | 0.319185i | \(0.896591\pi\) | |||||||
\(150\) | 15.1544 | + | 8.88991i | 1.23735 | + | 0.725858i | ||||
\(151\) | −3.14466 | − | 17.8343i | −0.255909 | − | 1.45133i | −0.793729 | − | 0.608272i | \(-0.791863\pi\) |
0.537820 | − | 0.843060i | \(-0.319248\pi\) | |||||||
\(152\) | 3.60712 | − | 6.24771i | 0.292576 | − | 0.506756i | ||||
\(153\) | 2.79224 | − | 14.6464i | 0.225739 | − | 1.18409i | ||||
\(154\) | −7.27555 | + | 0.0520518i | −0.586280 | + | 0.00419445i | ||||
\(155\) | −20.3410 | − | 24.2415i | −1.63383 | − | 1.94712i | ||||
\(156\) | 2.85913 | + | 0.524582i | 0.228913 | + | 0.0420002i | ||||
\(157\) | 2.28213 | + | 0.402401i | 0.182134 | + | 0.0321151i | 0.263971 | − | 0.964531i | \(-0.414968\pi\) |
−0.0818374 | + | 0.996646i | \(0.526079\pi\) | |||||||
\(158\) | −10.6743 | + | 12.7211i | −0.849201 | + | 1.01204i | ||||
\(159\) | 10.9883 | − | 1.85917i | 0.871432 | − | 0.147442i | ||||
\(160\) | 1.33097 | − | 3.65681i | 0.105222 | − | 0.289096i | ||||
\(161\) | −12.2981 | − | 6.98346i | −0.969223 | − | 0.550374i | ||||
\(162\) | 2.84276 | + | 8.53925i | 0.223348 | + | 0.670907i | ||||
\(163\) | 16.8886 | 1.32281 | 0.661407 | − | 0.750027i | \(-0.269960\pi\) | ||||
0.661407 | + | 0.750027i | \(0.269960\pi\) | |||||||
\(164\) | −3.97955 | − | 1.44844i | −0.310751 | − | 0.113104i | ||||
\(165\) | 18.2758 | − | 3.09217i | 1.42277 | − | 0.240725i | ||||
\(166\) | −2.67936 | + | 3.19314i | −0.207959 | + | 0.247836i | ||||
\(167\) | 0.610365 | − | 3.46155i | 0.0472315 | − | 0.267863i | −0.952042 | − | 0.305966i | \(-0.901021\pi\) |
0.999274 | + | 0.0381034i | \(0.0121316\pi\) | |||||||
\(168\) | 2.94482 | − | 3.51113i | 0.227198 | − | 0.270890i | ||||
\(169\) | 7.80094 | − | 6.54577i | 0.600072 | − | 0.503521i | ||||
\(170\) | 16.7497 | − | 9.67046i | 1.28465 | − | 0.741690i | ||||
\(171\) | −14.1399 | + | 16.3850i | −1.08131 | + | 1.25299i | ||||
\(172\) | 4.77094 | − | 8.26351i | 0.363781 | − | 0.630087i | ||||
\(173\) | 2.05049 | + | 11.6289i | 0.155896 | + | 0.884130i | 0.957962 | + | 0.286895i | \(0.0926230\pi\) |
−0.802066 | + | 0.597235i | \(0.796266\pi\) | |||||||
\(174\) | 2.22770 | − | 3.79750i | 0.168881 | − | 0.287888i | ||||
\(175\) | −4.47114 | + | 26.4628i | −0.337986 | + | 2.00040i | ||||
\(176\) | −0.940545 | − | 2.58413i | −0.0708962 | − | 0.194786i | ||||
\(177\) | −9.25279 | − | 0.0640792i | −0.695482 | − | 0.00481649i | ||||
\(178\) | −4.58245 | + | 0.808010i | −0.343469 | + | 0.0605629i | ||||
\(179\) | −9.62789 | − | 5.55866i | −0.719622 | − | 0.415474i | 0.0949914 | − | 0.995478i | \(-0.469718\pi\) |
−0.814614 | + | 0.580004i | \(0.803051\pi\) | |||||||
\(180\) | −5.97672 | + | 10.0286i | −0.445478 | + | 0.747487i | ||||
\(181\) | −3.23752 | + | 1.86918i | −0.240643 | + | 0.138935i | −0.615472 | − | 0.788159i | \(-0.711035\pi\) |
0.374829 | + | 0.927094i | \(0.377701\pi\) | |||||||
\(182\) | 0.802312 | + | 4.36720i | 0.0594713 | + | 0.323719i | ||||
\(183\) | −5.76118 | + | 6.77013i | −0.425878 | + | 0.500462i | ||||
\(184\) | 0.928214 | − | 5.26416i | 0.0684289 | − | 0.388079i | ||||
\(185\) | −1.05632 | − | 0.886357i | −0.0776622 | − | 0.0651663i | ||||
\(186\) | 10.8520 | − | 8.97856i | 0.795706 | − | 0.658340i | ||||
\(187\) | 4.67455 | − | 12.8432i | 0.341837 | − | 0.939189i | ||||
\(188\) | 7.55946 | 0.551331 | ||||||||
\(189\) | −10.6508 | + | 8.69260i | −0.774729 | + | 0.632294i | ||||
\(190\) | −28.0742 | −2.03671 | ||||||||
\(191\) | 4.67506 | − | 12.8446i | 0.338275 | − | 0.929404i | −0.647608 | − | 0.761973i | \(-0.724231\pi\) |
0.985884 | − | 0.167431i | \(-0.0535471\pi\) | |||||||
\(192\) | 1.62345 | + | 0.603654i | 0.117163 | + | 0.0435649i | ||||
\(193\) | −6.13489 | − | 5.14778i | −0.441599 | − | 0.370545i | 0.394709 | − | 0.918806i | \(-0.370846\pi\) |
−0.836307 | + | 0.548261i | \(0.815290\pi\) | |||||||
\(194\) | 1.48940 | − | 8.44682i | 0.106933 | − | 0.606447i | ||||
\(195\) | −3.79523 | − | 10.6563i | −0.271782 | − | 0.763117i | ||||
\(196\) | 6.61143 | + | 2.29978i | 0.472245 | + | 0.164270i | ||||
\(197\) | 10.5622 | − | 6.09810i | 0.752527 | − | 0.434472i | −0.0740793 | − | 0.997252i | \(-0.523602\pi\) |
0.826606 | + | 0.562781i | \(0.190268\pi\) | |||||||
\(198\) | 1.31992 | + | 8.14363i | 0.0938024 | + | 0.578743i | ||||
\(199\) | 5.96407 | + | 3.44336i | 0.422781 | + | 0.244093i | 0.696267 | − | 0.717783i | \(-0.254843\pi\) |
−0.273485 | + | 0.961876i | \(0.588176\pi\) | |||||||
\(200\) | −9.98965 | + | 1.76144i | −0.706375 | + | 0.124553i | ||||
\(201\) | −1.34459 | − | 2.36659i | −0.0948398 | − | 0.166926i | ||||
\(202\) | 0.598826 | + | 1.64526i | 0.0421333 | + | 0.115760i | ||||
\(203\) | 6.63123 | + | 1.12041i | 0.465421 | + | 0.0786373i | ||||
\(204\) | 4.25245 | + | 7.48470i | 0.297731 | + | 0.524034i | ||||
\(205\) | 2.86178 | + | 16.2299i | 0.199875 | + | 1.13355i | ||||
\(206\) | 1.47720 | − | 2.55858i | 0.102921 | − | 0.178265i | ||||
\(207\) | −5.69286 | + | 14.9916i | −0.395681 | + | 1.04199i | ||||
\(208\) | −1.45343 | + | 0.839136i | −0.100777 | + | 0.0581836i | ||||
\(209\) | −15.1975 | + | 12.7522i | −1.05123 | + | 0.882089i | ||||
\(210\) | −17.5629 | − | 3.09266i | −1.21195 | − | 0.213414i | ||||
\(211\) | 2.81430 | − | 15.9607i | 0.193745 | − | 1.09878i | −0.720451 | − | 0.693506i | \(-0.756065\pi\) |
0.914195 | − | 0.405274i | \(-0.132824\pi\) | |||||||
\(212\) | −4.13588 | + | 4.92895i | −0.284053 | + | 0.338521i | ||||
\(213\) | −4.81377 | + | 12.9461i | −0.329834 | + | 0.887050i | ||||
\(214\) | −6.39152 | − | 2.32632i | −0.436915 | − | 0.159024i | ||||
\(215\) | −37.1322 | −2.53240 | ||||||||
\(216\) | −4.44506 | − | 2.69100i | −0.302448 | − | 0.183099i | ||||
\(217\) | 18.7089 | + | 10.6238i | 1.27004 | + | 0.721192i | ||||
\(218\) | −4.91326 | + | 13.4991i | −0.332768 | + | 0.914273i | ||||
\(219\) | −1.85945 | − | 2.24743i | −0.125650 | − | 0.151867i | ||||
\(220\) | −6.87879 | + | 8.19782i | −0.463768 | + | 0.552697i | ||||
\(221\) | −8.21437 | − | 1.44841i | −0.552558 | − | 0.0974309i | ||||
\(222\) | 0.397752 | − | 0.467410i | 0.0266953 | − | 0.0313705i | ||||
\(223\) | 10.8119 | + | 12.8851i | 0.724016 | + | 0.862849i | 0.995014 | − | 0.0997312i | \(-0.0317983\pi\) |
−0.270999 | + | 0.962580i | \(0.587354\pi\) | |||||||
\(224\) | 0.0189281 | + | 2.64568i | 0.00126469 | + | 0.176772i | ||||
\(225\) | 30.4283 | + | 0.421477i | 2.02856 | + | 0.0280985i | ||||
\(226\) | −1.65193 | + | 2.86123i | −0.109885 | + | 0.190326i | ||||
\(227\) | −3.32251 | − | 18.8429i | −0.220523 | − | 1.25065i | −0.871062 | − | 0.491173i | \(-0.836568\pi\) |
0.650539 | − | 0.759473i | \(-0.274543\pi\) | |||||||
\(228\) | 0.0865337 | − | 12.4951i | 0.00573083 | − | 0.827509i | ||||
\(229\) | −2.45664 | − | 6.74955i | −0.162339 | − | 0.446023i | 0.831677 | − | 0.555260i | \(-0.187381\pi\) |
−0.994016 | + | 0.109237i | \(0.965159\pi\) | |||||||
\(230\) | −19.5470 | + | 7.11453i | −1.28889 | + | 0.469118i | ||||
\(231\) | −10.9122 | + | 6.30347i | −0.717967 | + | 0.414738i | ||||
\(232\) | 0.441395 | + | 2.50327i | 0.0289790 | + | 0.164348i | ||||
\(233\) | −12.2778 | − | 7.08860i | −0.804346 | − | 0.464389i | 0.0406425 | − | 0.999174i | \(-0.487060\pi\) |
−0.844989 | + | 0.534784i | \(0.820393\pi\) | |||||||
\(234\) | 4.75457 | − | 1.65632i | 0.310816 | − | 0.108277i | ||||
\(235\) | −14.7088 | − | 25.4764i | −0.959498 | − | 1.66190i | ||||
\(236\) | 4.09238 | − | 3.43392i | 0.266391 | − | 0.223529i | ||||
\(237\) | −5.19066 | + | 28.2906i | −0.337170 | + | 1.83767i | ||||
\(238\) | −8.38006 | + | 10.1333i | −0.543198 | + | 0.656845i | ||||
\(239\) | −3.51743 | + | 4.19191i | −0.227523 | + | 0.271152i | −0.867713 | − | 0.497065i | \(-0.834411\pi\) |
0.640190 | + | 0.768217i | \(0.278856\pi\) | |||||||
\(240\) | −1.12444 | − | 6.64582i | −0.0725822 | − | 0.428986i | ||||
\(241\) | −0.722609 | + | 1.98535i | −0.0465474 | + | 0.127888i | −0.960788 | − | 0.277283i | \(-0.910566\pi\) |
0.914241 | + | 0.405171i | \(0.132788\pi\) | |||||||
\(242\) | − | 3.43767i | − | 0.220982i | ||||||
\(243\) | 11.5874 | + | 10.4275i | 0.743332 | + | 0.668922i | ||||
\(244\) | − | 5.13244i | − | 0.328571i | ||||||
\(245\) | −5.11361 | − | 26.7562i | −0.326697 | − | 1.70939i | ||||
\(246\) | −7.23237 | + | 1.22368i | −0.461119 | + | 0.0780190i | ||||
\(247\) | 9.27484 | + | 7.78251i | 0.590144 | + | 0.495189i | ||||
\(248\) | −1.41208 | + | 8.00829i | −0.0896670 | + | 0.508527i | ||||
\(249\) | −1.30291 | + | 7.10125i | −0.0825687 | + | 0.450023i | ||||
\(250\) | 12.8666 | + | 15.3338i | 0.813757 | + | 0.969797i | ||||
\(251\) | 0.00894719 | + | 0.0154970i | 0.000564742 | + | 0.000978161i | 0.866308 | − | 0.499511i | \(-0.166487\pi\) |
−0.865743 | + | 0.500489i | \(0.833154\pi\) | |||||||
\(252\) | 1.43060 | − | 7.80726i | 0.0901194 | − | 0.491811i | ||||
\(253\) | −7.34980 | + | 12.7302i | −0.462078 | + | 0.800343i | ||||
\(254\) | −11.9486 | + | 2.10686i | −0.749720 | + | 0.132196i | ||||
\(255\) | 16.9502 | − | 28.8947i | 1.06147 | − | 1.80946i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 18.6003 | − | 6.76995i | 1.16025 | − | 0.422298i | 0.311066 | − | 0.950388i | \(-0.399314\pi\) |
0.849188 | + | 0.528090i | \(0.177092\pi\) | |||||||
\(258\) | 0.114454 | − | 16.5266i | 0.00712557 | − | 1.02890i | ||||
\(259\) | 0.883238 | + | 0.314335i | 0.0548817 | + | 0.0195318i | ||||
\(260\) | 5.65600 | + | 3.26549i | 0.350770 | + | 0.202517i | ||||
\(261\) | 0.105617 | − | 7.62494i | 0.00653751 | − | 0.471972i | ||||
\(262\) | 19.3510 | − | 11.1723i | 1.19551 | − | 0.690229i | ||||
\(263\) | 6.42905 | + | 7.66185i | 0.396432 | + | 0.472450i | 0.926929 | − | 0.375237i | \(-0.122439\pi\) |
−0.530496 | + | 0.847687i | \(0.677994\pi\) | |||||||
\(264\) | −3.62745 | − | 3.08685i | −0.223254 | − | 0.189982i | ||||
\(265\) | 24.6586 | + | 4.34798i | 1.51477 | + | 0.267094i | ||||
\(266\) | 17.8888 | − | 6.65631i | 1.09683 | − | 0.408125i | ||||
\(267\) | −6.20965 | + | 5.13766i | −0.380024 | + | 0.314419i | ||||
\(268\) | 1.47671 | + | 0.537479i | 0.0902044 | + | 0.0328317i | ||||
\(269\) | 26.7576 | 1.63144 | 0.815720 | − | 0.578447i | \(-0.196341\pi\) | ||||
0.815720 | + | 0.578447i | \(0.196341\pi\) | |||||||
\(270\) | −0.420075 | + | 20.2165i | −0.0255649 | + | 1.23033i | ||||
\(271\) | − | 26.6221i | − | 1.61718i | −0.588373 | − | 0.808590i | \(-0.700231\pi\) | ||
0.588373 | − | 0.808590i | \(-0.299769\pi\) | |||||||
\(272\) | −4.67032 | − | 1.69986i | −0.283179 | − | 0.103069i | ||||
\(273\) | 4.94490 | + | 5.89037i | 0.299279 | + | 0.356501i | ||||
\(274\) | −9.65505 | − | 8.10155i | −0.583283 | − | 0.489433i | ||||
\(275\) | 27.4712 | + | 4.84392i | 1.65658 | + | 0.292099i | ||||
\(276\) | −3.10625 | − | 8.72182i | −0.186974 | − | 0.524992i | ||||
\(277\) | −11.8133 | + | 9.91258i | −0.709795 | + | 0.595589i | −0.924542 | − | 0.381081i | \(-0.875552\pi\) |
0.214746 | + | 0.976670i | \(0.431108\pi\) | |||||||
\(278\) | 6.57682 | + | 11.3914i | 0.394452 | + | 0.683210i | ||||
\(279\) | 8.66046 | − | 22.8065i | 0.518488 | − | 1.36539i | ||||
\(280\) | 8.87948 | − | 5.21163i | 0.530651 | − | 0.311454i | ||||
\(281\) | −24.7789 | + | 4.36919i | −1.47819 | + | 0.260644i | −0.853853 | − | 0.520514i | \(-0.825740\pi\) |
−0.624334 | + | 0.781158i | \(0.714629\pi\) | |||||||
\(282\) | 11.3843 | − | 6.46800i | 0.677923 | − | 0.385164i | ||||
\(283\) | −4.29784 | − | 11.8082i | −0.255480 | − | 0.701926i | −0.999432 | − | 0.0336931i | \(-0.989273\pi\) |
0.743952 | − | 0.668233i | \(-0.232949\pi\) | |||||||
\(284\) | −2.72741 | − | 7.49349i | −0.161842 | − | 0.444657i | ||||
\(285\) | −42.2786 | + | 24.0207i | −2.50437 | + | 1.42287i | ||||
\(286\) | 4.54508 | − | 0.801420i | 0.268756 | − | 0.0473890i | ||||
\(287\) | −5.67159 | − | 9.66317i | −0.334784 | − | 0.570399i | ||||
\(288\) | 2.96136 | − | 0.479975i | 0.174500 | − | 0.0282828i | ||||
\(289\) | −3.85068 | − | 6.66957i | −0.226510 | − | 0.392327i | ||||
\(290\) | 7.57753 | − | 6.35831i | 0.444968 | − | 0.373373i | ||||
\(291\) | −4.98426 | − | 13.9949i | −0.292183 | − | 0.820398i | ||||
\(292\) | 1.65851 | + | 0.292440i | 0.0970568 | + | 0.0171137i | ||||
\(293\) | 10.1575 | + | 8.52312i | 0.593405 | + | 0.497926i | 0.889318 | − | 0.457289i | \(-0.151179\pi\) |
−0.295913 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(294\) | 11.9243 | − | 2.19347i | 0.695439 | − | 0.127926i | ||||
\(295\) | −19.5355 | − | 7.11035i | −1.13740 | − | 0.413980i | ||||
\(296\) | 0.354344i | 0.0205958i | ||||||||
\(297\) | 8.95558 | + | 11.1347i | 0.519655 | + | 0.646098i | ||||
\(298\) | 0.590654 | 0.0342157 | ||||||||
\(299\) | 8.42997 | + | 3.06826i | 0.487518 | + | 0.177442i | ||||
\(300\) | −13.5369 | + | 11.2000i | −0.781554 | + | 0.646631i | ||||
\(301\) | 23.6606 | − | 8.80395i | 1.36377 | − | 0.507451i | ||||
\(302\) | 17.8343 | + | 3.14466i | 1.02625 | + | 0.180955i | ||||
\(303\) | 2.30952 | + | 1.96533i | 0.132679 | + | 0.112906i | ||||
\(304\) | 4.63722 | + | 5.52642i | 0.265963 | + | 0.316962i | ||||
\(305\) | −17.2970 | + | 9.98644i | −0.990424 | + | 0.571822i | ||||
\(306\) | 12.8081 | + | 7.63319i | 0.732188 | + | 0.436361i | ||||
\(307\) | 15.3747 | + | 8.87658i | 0.877480 | + | 0.506613i | 0.869827 | − | 0.493357i | \(-0.164231\pi\) |
0.00765328 | + | 0.999971i | \(0.497564\pi\) | |||||||
\(308\) | 2.43947 | − | 6.85458i | 0.139002 | − | 0.390576i | ||||
\(309\) | 0.0354375 | − | 5.11703i | 0.00201597 | − | 0.291098i | ||||
\(310\) | 29.7366 | − | 10.8232i | 1.68892 | − | 0.614718i | ||||
\(311\) | 26.0813 | − | 9.49283i | 1.47894 | − | 0.538289i | 0.528425 | − | 0.848980i | \(-0.322783\pi\) |
0.950511 | + | 0.310691i | \(0.100560\pi\) | |||||||
\(312\) | −1.47082 | + | 2.50728i | −0.0832690 | + | 0.141947i | ||||
\(313\) | −27.7620 | + | 4.89518i | −1.56920 | + | 0.276692i | −0.889547 | − | 0.456843i | \(-0.848980\pi\) |
−0.679652 | + | 0.733535i | \(0.737869\pi\) | |||||||
\(314\) | −1.15867 | + | 2.00687i | −0.0653873 | + | 0.113254i | ||||
\(315\) | −29.0951 | + | 10.3697i | −1.63933 | + | 0.584264i | ||||
\(316\) | −8.30312 | − | 14.3814i | −0.467087 | − | 0.809019i | ||||
\(317\) | 6.01723 | + | 7.17106i | 0.337962 | + | 0.402767i | 0.908081 | − | 0.418795i | \(-0.137547\pi\) |
−0.570119 | + | 0.821562i | \(0.693103\pi\) | |||||||
\(318\) | −2.01118 | + | 10.9615i | −0.112782 | + | 0.614692i | ||||
\(319\) | 1.21382 | − | 6.88393i | 0.0679610 | − | 0.385426i | ||||
\(320\) | 2.98106 | + | 2.50141i | 0.166646 | + | 0.139833i | ||||
\(321\) | −11.6158 | + | 1.96534i | −0.648332 | + | 0.109695i | ||||
\(322\) | 10.7685 | − | 9.16792i | 0.600105 | − | 0.510908i | ||||
\(323\) | 35.8551i | 1.99503i | ||||||||
\(324\) | −8.99655 | − | 0.249279i | −0.499808 | − | 0.0138488i | ||||
\(325\) | − | 17.0240i | − | 0.944320i | ||||||
\(326\) | −5.77623 | + | 15.8701i | −0.319916 | + | 0.878961i | ||||
\(327\) | 4.15085 | + | 24.5330i | 0.229543 | + | 1.35668i | ||||
\(328\) | 2.72218 | − | 3.24416i | 0.150307 | − | 0.179129i | ||||
\(329\) | 15.4128 | + | 12.7461i | 0.849737 | + | 0.702716i | ||||
\(330\) | −3.34500 | + | 18.2312i | −0.184136 | + | 1.00360i | ||||
\(331\) | 15.4208 | − | 12.9396i | 0.847601 | − | 0.711222i | −0.111659 | − | 0.993747i | \(-0.535616\pi\) |
0.959260 | + | 0.282525i | \(0.0911719\pi\) | |||||||
\(332\) | −2.08417 | − | 3.60989i | −0.114384 | − | 0.198119i | ||||
\(333\) | 0.199075 | − | 1.04422i | 0.0109092 | − | 0.0572231i | ||||
\(334\) | 3.04404 | + | 1.75748i | 0.166562 | + | 0.0961648i | ||||
\(335\) | −1.06193 | − | 6.02251i | −0.0580195 | − | 0.329045i | ||||
\(336\) | 2.29220 | + | 3.96810i | 0.125050 | + | 0.216478i | ||||
\(337\) | 20.6806 | − | 7.52714i | 1.12655 | − | 0.410029i | 0.289509 | − | 0.957175i | \(-0.406508\pi\) |
0.837037 | + | 0.547146i | \(0.184286\pi\) | |||||||
\(338\) | 3.48293 | + | 9.56927i | 0.189446 | + | 0.520500i | ||||
\(339\) | −0.0396294 | + | 5.72233i | −0.00215238 | + | 0.310794i | ||||
\(340\) | 3.35852 | + | 19.0471i | 0.182141 | + | 1.03297i | ||||
\(341\) | 11.1811 | − | 19.3663i | 0.605493 | − | 1.04874i | ||||
\(342\) | −10.5607 | − | 18.8912i | −0.571058 | − | 1.02152i | ||||
\(343\) | 9.60221 | + | 15.8366i | 0.518471 | + | 0.855095i | ||||
\(344\) | 6.13340 | + | 7.30951i | 0.330691 | + | 0.394102i | ||||
\(345\) | −23.3497 | + | 27.4390i | −1.25711 | + | 1.47726i | ||||
\(346\) | −11.6289 | − | 2.05049i | −0.625174 | − | 0.110235i | ||||
\(347\) | −15.6453 | + | 18.6454i | −0.839884 | + | 1.00094i | 0.160020 | + | 0.987114i | \(0.448844\pi\) |
−0.999904 | + | 0.0138213i | \(0.995600\pi\) | |||||||
\(348\) | 2.80657 | + | 3.39217i | 0.150448 | + | 0.181839i | ||||
\(349\) | 6.00922 | − | 16.5102i | 0.321666 | − | 0.883770i | −0.668480 | − | 0.743730i | \(-0.733055\pi\) |
0.990146 | − | 0.140040i | \(-0.0447230\pi\) | |||||||
\(350\) | −23.3377 | − | 13.2523i | −1.24745 | − | 0.708365i | ||||
\(351\) | 5.74303 | − | 6.56244i | 0.306540 | − | 0.350277i | ||||
\(352\) | 2.74997 | 0.146574 | ||||||||
\(353\) | −11.2811 | − | 4.10598i | −0.600432 | − | 0.218539i | 0.0238797 | − | 0.999715i | \(-0.492398\pi\) |
−0.624311 | + | 0.781176i | \(0.714620\pi\) | |||||||
\(354\) | 3.22485 | − | 8.67286i | 0.171399 | − | 0.460957i | ||||
\(355\) | −19.9472 | + | 23.7722i | −1.05869 | + | 1.26170i | ||||
\(356\) | 0.808010 | − | 4.58245i | 0.0428245 | − | 0.242870i | ||||
\(357\) | −3.94981 | + | 22.4305i | −0.209046 | + | 1.18715i | ||||
\(358\) | 8.51637 | − | 7.14608i | 0.450104 | − | 0.377682i | ||||
\(359\) | −13.3990 | + | 7.73591i | −0.707172 | + | 0.408286i | −0.810013 | − | 0.586412i | \(-0.800540\pi\) |
0.102841 | + | 0.994698i | \(0.467207\pi\) | |||||||
\(360\) | −7.37964 | − | 9.04626i | −0.388941 | − | 0.476780i | ||||
\(361\) | 16.5226 | − | 28.6179i | 0.869609 | − | 1.50621i | ||||
\(362\) | −0.649161 | − | 3.68157i | −0.0341191 | − | 0.193499i | ||||
\(363\) | −2.94133 | − | 5.17700i | −0.154380 | − | 0.271722i | ||||
\(364\) | −4.37824 | − | 0.739744i | −0.229482 | − | 0.0387731i | ||||
\(365\) | −2.24148 | − | 6.15841i | −0.117324 | − | 0.322346i | ||||
\(366\) | −4.39140 | − | 7.72926i | −0.229542 | − | 0.404015i | ||||
\(367\) | 13.6855 | − | 2.41312i | 0.714377 | − | 0.125964i | 0.195365 | − | 0.980731i | \(-0.437411\pi\) |
0.519012 | + | 0.854767i | \(0.326300\pi\) | |||||||
\(368\) | 4.62923 | + | 2.67269i | 0.241315 | + | 0.139323i | ||||
\(369\) | −9.84466 | + | 8.03095i | −0.512493 | + | 0.418074i | ||||
\(370\) | 1.19419 | − | 0.689464i | 0.0620828 | − | 0.0358435i | ||||
\(371\) | −16.7433 | + | 3.07597i | −0.869269 | + | 0.159696i | ||||
\(372\) | 4.72549 | + | 13.2684i | 0.245005 | + | 0.687933i | ||||
\(373\) | −5.89351 | + | 33.4238i | −0.305154 | + | 1.73062i | 0.317623 | + | 0.948217i | \(0.397115\pi\) |
−0.622777 | + | 0.782399i | \(0.713996\pi\) | |||||||
\(374\) | 10.4699 | + | 8.78528i | 0.541385 | + | 0.454276i | ||||
\(375\) | 32.4965 | + | 12.0833i | 1.67811 | + | 0.623978i | ||||
\(376\) | −2.58549 | + | 7.10357i | −0.133336 | + | 0.366339i | ||||
\(377\) | −4.26598 | −0.219709 | ||||||||
\(378\) | −4.52560 | − | 12.9815i | −0.232772 | − | 0.667696i | ||||
\(379\) | 5.88433 | 0.302258 | 0.151129 | − | 0.988514i | \(-0.451709\pi\) | ||||
0.151129 | + | 0.988514i | \(0.451709\pi\) | |||||||
\(380\) | 9.60193 | − | 26.3811i | 0.492569 | − | 1.35332i | ||||
\(381\) | −16.1914 | + | 13.3962i | −0.829512 | + | 0.686311i | ||||
\(382\) | 10.4710 | + | 8.78624i | 0.535744 | + | 0.449543i | ||||
\(383\) | 3.97094 | − | 22.5203i | 0.202906 | − | 1.15074i | −0.697796 | − | 0.716297i | \(-0.745836\pi\) |
0.900701 | − | 0.434439i | \(-0.143053\pi\) | |||||||
\(384\) | −1.12250 | + | 1.31909i | −0.0572825 | + | 0.0673143i | ||||
\(385\) | −27.8475 | + | 5.11594i | −1.41924 | + | 0.260733i | ||||
\(386\) | 6.93559 | − | 4.00426i | 0.353012 | − | 0.203812i | ||||
\(387\) | −13.9681 | − | 24.9864i | −0.710038 | − | 1.27013i | ||||
\(388\) | 7.42801 | + | 4.28856i | 0.377100 | + | 0.217719i | ||||
\(389\) | 34.5428 | − | 6.09083i | 1.75139 | − | 0.308818i | 0.796250 | − | 0.604968i | \(-0.206814\pi\) |
0.955141 | + | 0.296150i | \(0.0957029\pi\) | |||||||
\(390\) | 11.3117 | + | 0.0783383i | 0.572792 | + | 0.00396681i | ||||
\(391\) | 9.08636 | + | 24.9646i | 0.459517 | + | 1.26251i | ||||
\(392\) | −4.42233 | + | 5.42614i | −0.223361 | + | 0.274062i | ||||
\(393\) | 19.5827 | − | 33.3822i | 0.987816 | − | 1.68391i | ||||
\(394\) | 2.11785 | + | 12.0109i | 0.106696 | + | 0.605101i | ||||
\(395\) | −32.3116 | + | 55.9653i | −1.62577 | + | 2.81592i | ||||
\(396\) | −8.10395 | − | 1.54497i | −0.407239 | − | 0.0776377i | ||||
\(397\) | −9.45939 | + | 5.46138i | −0.474753 | + | 0.274099i | −0.718227 | − | 0.695809i | \(-0.755046\pi\) |
0.243474 | + | 0.969907i | \(0.421713\pi\) | |||||||
\(398\) | −5.27553 | + | 4.42669i | −0.264438 | + | 0.221890i | ||||
\(399\) | 21.2446 | − | 25.3301i | 1.06356 | − | 1.26809i | ||||
\(400\) | 1.76144 | − | 9.98965i | 0.0880722 | − | 0.499482i | ||||
\(401\) | −3.54267 | + | 4.22199i | −0.176912 | + | 0.210836i | −0.847212 | − | 0.531254i | \(-0.821721\pi\) |
0.670300 | + | 0.742090i | \(0.266165\pi\) | |||||||
\(402\) | 2.68374 | − | 0.454076i | 0.133853 | − | 0.0226473i | ||||
\(403\) | −12.8244 | − | 4.66769i | −0.638828 | − | 0.232514i | ||||
\(404\) | −1.75085 | −0.0871081 | ||||||||
\(405\) | 16.6649 | + | 30.8046i | 0.828086 | + | 1.53069i | ||||
\(406\) | −3.32085 | + | 5.84811i | −0.164811 | + | 0.290237i | ||||
\(407\) | 0.333276 | − | 0.915668i | 0.0165199 | − | 0.0453880i | ||||
\(408\) | −8.48774 | + | 1.43608i | −0.420206 | + | 0.0710967i | ||||
\(409\) | −9.82756 | + | 11.7120i | −0.485942 | + | 0.579123i | −0.952180 | − | 0.305536i | \(-0.901164\pi\) |
0.466239 | + | 0.884659i | \(0.345609\pi\) | |||||||
\(410\) | −16.2299 | − | 2.86178i | −0.801540 | − | 0.141333i | ||||
\(411\) | −21.4720 | − | 3.93960i | −1.05913 | − | 0.194326i | ||||
\(412\) | 1.89905 | + | 2.26319i | 0.0935593 | + | 0.111500i | ||||
\(413\) | 14.1338 | − | 0.101118i | 0.695481 | − | 0.00497571i | ||||
\(414\) | −12.1404 | − | 10.4770i | −0.596670 | − | 0.514915i | ||||
\(415\) | −8.11055 | + | 14.0479i | −0.398131 | + | 0.689584i | ||||
\(416\) | −0.291429 | − | 1.65277i | −0.0142885 | − | 0.0810339i | ||||
\(417\) | 19.6511 | + | 11.5278i | 0.962319 | + | 0.564517i | ||||
\(418\) | −6.78531 | − | 18.6425i | −0.331880 | − | 0.911834i | ||||
\(419\) | −7.80252 | + | 2.83989i | −0.381178 | + | 0.138738i | −0.525501 | − | 0.850793i | \(-0.676122\pi\) |
0.144322 | + | 0.989531i | \(0.453900\pi\) | |||||||
\(420\) | 8.91301 | − | 15.4459i | 0.434910 | − | 0.753685i | ||||
\(421\) | 3.40910 | + | 19.3340i | 0.166149 | + | 0.942280i | 0.947871 | + | 0.318653i | \(0.103230\pi\) |
−0.781722 | + | 0.623627i | \(0.785658\pi\) | |||||||
\(422\) | 14.0356 | + | 8.10346i | 0.683242 | + | 0.394470i | ||||
\(423\) | 11.6101 | − | 19.4811i | 0.564504 | − | 0.947205i | ||||
\(424\) | −3.21714 | − | 5.57225i | −0.156238 | − | 0.270613i | ||||
\(425\) | 38.6201 | − | 32.4061i | 1.87335 | − | 1.57193i | ||||
\(426\) | −10.5189 | − | 8.95129i | −0.509643 | − | 0.433691i | ||||
\(427\) | 8.65387 | − | 10.4644i | 0.418790 | − | 0.506409i | ||||
\(428\) | 4.37206 | − | 5.21041i | 0.211331 | − | 0.251855i | ||||
\(429\) | 6.15901 | − | 5.09575i | 0.297360 | − | 0.246025i | ||||
\(430\) | 12.7000 | − | 34.8929i | 0.612447 | − | 1.68268i | ||||
\(431\) | 15.3638i | 0.740050i | 0.929022 | + | 0.370025i | \(0.120651\pi\) | ||||
−0.929022 | + | 0.370025i | \(0.879349\pi\) | |||||||
\(432\) | 4.04901 | − | 3.25661i | 0.194808 | − | 0.156684i | ||||
\(433\) | 10.6521i | 0.511908i | 0.966689 | + | 0.255954i | \(0.0823895\pi\) | ||||
−0.966689 | + | 0.255954i | \(0.917610\pi\) | |||||||
\(434\) | −16.3819 | + | 13.9470i | −0.786358 | + | 0.669478i | ||||
\(435\) | 5.97120 | − | 16.0588i | 0.286297 | − | 0.769962i | ||||
\(436\) | −11.0045 | − | 9.23391i | −0.527022 | − | 0.442224i | ||||
\(437\) | 6.69635 | − | 37.9769i | 0.320330 | − | 1.81668i | ||||
\(438\) | 2.74786 | − | 0.978644i | 0.131298 | − | 0.0467614i | ||||
\(439\) | 12.7922 | + | 15.2452i | 0.610540 | + | 0.727613i | 0.979413 | − | 0.201867i | \(-0.0647009\pi\) |
−0.368873 | + | 0.929480i | \(0.620256\pi\) | |||||||
\(440\) | −5.35075 | − | 9.26777i | −0.255087 | − | 0.441824i | ||||
\(441\) | 16.0808 | − | 13.5059i | 0.765750 | − | 0.643138i | ||||
\(442\) | 4.17054 | − | 7.22359i | 0.198372 | − | 0.343591i | ||||
\(443\) | −17.4953 | + | 3.08489i | −0.831225 | + | 0.146567i | −0.573039 | − | 0.819528i | \(-0.694236\pi\) |
−0.258186 | + | 0.966095i | \(0.583125\pi\) | |||||||
\(444\) | 0.303182 | + | 0.533628i | 0.0143884 | + | 0.0253249i | ||||
\(445\) | −17.0157 | + | 6.19320i | −0.806620 | + | 0.293586i | ||||
\(446\) | −15.8059 | + | 5.75287i | −0.748430 | + | 0.272406i | ||||
\(447\) | 0.889502 | − | 0.505373i | 0.0420720 | − | 0.0239033i | ||||
\(448\) | −2.49260 | − | 0.887090i | −0.117764 | − | 0.0419111i | ||||
\(449\) | −8.15435 | − | 4.70791i | −0.384827 | − | 0.222180i | 0.295089 | − | 0.955470i | \(-0.404651\pi\) |
−0.679917 | + | 0.733290i | \(0.737984\pi\) | |||||||
\(450\) | −10.8032 | + | 28.4491i | −0.509266 | + | 1.34111i | ||||
\(451\) | −10.0857 | + | 5.82300i | −0.474918 | + | 0.274194i | ||||
\(452\) | −2.12369 | − | 2.53091i | −0.0998898 | − | 0.119044i | ||||
\(453\) | 29.5483 | − | 10.5236i | 1.38830 | − | 0.494440i | ||||
\(454\) | 18.8429 | + | 3.32251i | 0.884340 | + | 0.155933i | ||||
\(455\) | 6.02591 | + | 16.1946i | 0.282499 | + | 0.759215i | ||||
\(456\) | 11.7120 | + | 4.35490i | 0.548463 | + | 0.203937i | ||||
\(457\) | −24.5535 | − | 8.93673i | −1.14856 | − | 0.418043i | −0.303564 | − | 0.952811i | \(-0.598177\pi\) |
−0.844999 | + | 0.534768i | \(0.820399\pi\) | |||||||
\(458\) | 7.18272 | 0.335627 | ||||||||
\(459\) | 25.8195 | + | 0.536501i | 1.20515 | + | 0.0250417i | ||||
\(460\) | − | 20.8015i | − | 0.969875i | ||||||
\(461\) | −1.47622 | − | 0.537300i | −0.0687543 | − | 0.0250245i | 0.307414 | − | 0.951576i | \(-0.400536\pi\) |
−0.376168 | + | 0.926551i | \(0.622759\pi\) | |||||||
\(462\) | −2.19115 | − | 12.4100i | −0.101941 | − | 0.577365i | ||||
\(463\) | 2.89321 | + | 2.42769i | 0.134459 | + | 0.112824i | 0.707537 | − | 0.706677i | \(-0.249806\pi\) |
−0.573078 | + | 0.819501i | \(0.694251\pi\) | |||||||
\(464\) | −2.50327 | − | 0.441395i | −0.116212 | − | 0.0204912i | ||||
\(465\) | 35.5216 | − | 41.7425i | 1.64728 | − | 1.93576i | ||||
\(466\) | 10.8604 | − | 9.11292i | 0.503096 | − | 0.422148i | ||||
\(467\) | 15.5675 | + | 26.9637i | 0.720377 | + | 1.24773i | 0.960849 | + | 0.277074i | \(0.0893646\pi\) |
−0.240472 | + | 0.970656i | \(0.577302\pi\) | |||||||
\(468\) | −0.0697329 | + | 5.03433i | −0.00322340 | + | 0.232712i | ||||
\(469\) | 2.10458 | + | 3.58575i | 0.0971806 | + | 0.165575i | ||||
\(470\) | 28.9707 | − | 5.10832i | 1.33632 | − | 0.235629i | ||||
\(471\) | −0.0277961 | + | 4.01364i | −0.00128078 | + | 0.184939i | ||||
\(472\) | 1.82715 | + | 5.02005i | 0.0841014 | + | 0.231067i | ||||
\(473\) | −8.97457 | − | 24.6574i | −0.412651 | − | 1.13375i | ||||
\(474\) | −24.8092 | − | 14.5536i | −1.13952 | − | 0.668468i | ||||
\(475\) | −72.0676 | + | 12.7075i | −3.30669 | + | 0.583059i | ||||
\(476\) | −6.65605 | − | 11.3405i | −0.305080 | − | 0.519790i | ||||
\(477\) | 6.35011 | + | 18.2284i | 0.290751 | + | 0.834623i | ||||
\(478\) | −2.73607 | − | 4.73902i | −0.125145 | − | 0.216758i | ||||
\(479\) | −6.19661 | + | 5.19957i | −0.283130 | + | 0.237574i | −0.773281 | − | 0.634063i | \(-0.781386\pi\) |
0.490151 | + | 0.871637i | \(0.336942\pi\) | |||||||
\(480\) | 6.62961 | + | 1.21638i | 0.302599 | + | 0.0555197i | ||||
\(481\) | −0.585650 | − | 0.103266i | −0.0267033 | − | 0.00470852i | ||||
\(482\) | −1.61847 | − | 1.35806i | −0.0737195 | − | 0.0618580i | ||||
\(483\) | 8.37271 | − | 23.0202i | 0.380972 | − | 1.04746i | ||||
\(484\) | 3.23035 | + | 1.17575i | 0.146834 | + | 0.0534433i | ||||
\(485\) | − | 33.3779i | − | 1.51561i | ||||||
\(486\) | −13.7617 | + | 7.32219i | −0.624245 | + | 0.332141i | ||||
\(487\) | −18.0725 | −0.818945 | −0.409472 | − | 0.912323i | \(-0.634287\pi\) | ||||
−0.409472 | + | 0.912323i | \(0.634287\pi\) | |||||||
\(488\) | 4.82291 | + | 1.75540i | 0.218323 | + | 0.0794631i | ||||
\(489\) | 4.87991 | + | 28.8419i | 0.220677 | + | 1.30428i | ||||
\(490\) | 26.8916 | + | 4.34594i | 1.21484 | + | 0.196330i | ||||
\(491\) | 9.13275 | + | 1.61035i | 0.412155 | + | 0.0726741i | 0.375881 | − | 0.926668i | \(-0.377340\pi\) |
0.0362739 | + | 0.999342i | \(0.488451\pi\) | |||||||
\(492\) | 1.32373 | − | 7.21472i | 0.0596784 | − | 0.325265i | ||||
\(493\) | −8.12054 | − | 9.67768i | −0.365731 | − | 0.435861i | ||||
\(494\) | −10.4854 | + | 6.05372i | −0.471758 | + | 0.272370i | ||||
\(495\) | 10.5615 | + | 30.3175i | 0.474704 | + | 1.36267i | ||||
\(496\) | −7.04237 | − | 4.06592i | −0.316212 | − | 0.182565i | ||||
\(497\) | 7.07401 | − | 19.8770i | 0.317313 | − | 0.891606i | ||||
\(498\) | −6.22737 | − | 3.65311i | −0.279055 | − | 0.163700i | ||||
\(499\) | −24.0969 | + | 8.77057i | −1.07873 | + | 0.392625i | −0.819434 | − | 0.573174i | \(-0.805712\pi\) |
−0.259293 | + | 0.965799i | \(0.583490\pi\) | |||||||
\(500\) | −18.8097 | + | 6.84619i | −0.841197 | + | 0.306171i | ||||
\(501\) | 6.08793 | + | 0.0421613i | 0.271989 | + | 0.00188363i | ||||
\(502\) | −0.0176225 | + | 0.00310733i | −0.000786532 | + | 0.000138687i | ||||
\(503\) | 5.40271 | − | 9.35777i | 0.240895 | − | 0.417242i | −0.720075 | − | 0.693897i | \(-0.755892\pi\) |
0.960969 | + | 0.276655i | \(0.0892258\pi\) | |||||||
\(504\) | 6.84713 | + | 4.01457i | 0.304996 | + | 0.178823i | ||||
\(505\) | 3.40672 | + | 5.90061i | 0.151597 | + | 0.262573i | ||||
\(506\) | −9.44873 | − | 11.2606i | −0.420047 | − | 0.500593i | ||||
\(507\) | 13.4328 | + | 11.4309i | 0.596571 | + | 0.507664i | ||||
\(508\) | 2.10686 | − | 11.9486i | 0.0934766 | − | 0.530132i | ||||
\(509\) | −10.9511 | − | 9.18908i | −0.485400 | − | 0.407299i | 0.366974 | − | 0.930231i | \(-0.380394\pi\) |
−0.852374 | + | 0.522932i | \(0.824838\pi\) | |||||||
\(510\) | 21.3548 | + | 25.8106i | 0.945607 | + | 1.14291i | ||||
\(511\) | 2.88841 | + | 3.39268i | 0.127776 | + | 0.150083i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −32.0677 | − | 19.4135i | −1.41582 | − | 0.857127i | ||||
\(514\) | 19.7940i | 0.873076i | ||||||||
\(515\) | 3.93221 | − | 10.8036i | 0.173274 | − | 0.476066i | ||||
\(516\) | 15.4908 | + | 5.75999i | 0.681945 | + | 0.253569i | ||||
\(517\) | 13.3625 | − | 15.9248i | 0.587680 | − | 0.700370i | ||||
\(518\) | −0.597463 | + | 0.722463i | −0.0262510 | + | 0.0317432i | ||||
\(519\) | −19.2671 | + | 6.86193i | −0.845733 | + | 0.301206i | ||||
\(520\) | −5.00303 | + | 4.19804i | −0.219397 | + | 0.184096i | ||||
\(521\) | −3.15077 | − | 5.45729i | −0.138038 | − | 0.239088i | 0.788716 | − | 0.614758i | \(-0.210746\pi\) |
−0.926754 | + | 0.375669i | \(0.877413\pi\) | |||||||
\(522\) | 7.12898 | + | 2.70713i | 0.312027 | + | 0.118488i | ||||
\(523\) | −7.93681 | − | 4.58232i | −0.347052 | − | 0.200371i | 0.316334 | − | 0.948648i | \(-0.397548\pi\) |
−0.663386 | + | 0.748277i | \(0.730881\pi\) | |||||||
\(524\) | 3.88011 | + | 22.0052i | 0.169503 | + | 0.961301i | ||||
\(525\) | −46.4845 | + | 0.0106420i | −2.02875 | + | 0.000464457i | ||||
\(526\) | −9.39865 | + | 3.42083i | −0.409801 | + | 0.149155i | ||||
\(527\) | −13.8229 | − | 37.9782i | −0.602137 | − | 1.65436i | ||||
\(528\) | 4.14135 | − | 2.35292i | 0.180229 | − | 0.102398i | ||||
\(529\) | −0.967743 | − | 5.48834i | −0.0420758 | − | 0.238624i | ||||
\(530\) | −12.5195 | + | 21.6844i | −0.543812 | + | 0.941911i | ||||
\(531\) | −2.56414 | − | 15.8202i | −0.111274 | − | 0.686539i | ||||
\(532\) | 0.136552 | + | 19.0866i | 0.00592028 | + | 0.827508i | ||||
\(533\) | 4.56855 | + | 5.44459i | 0.197886 | + | 0.235831i | ||||
\(534\) | −2.70399 | − | 7.59235i | −0.117013 | − | 0.328553i | ||||
\(535\) | −26.0667 | − | 4.59627i | −1.12696 | − | 0.198714i | ||||
\(536\) | −1.01013 | + | 1.20383i | −0.0436309 | + | 0.0519973i | ||||
\(537\) | 6.71101 | − | 18.0485i | 0.289602 | − | 0.778849i | ||||
\(538\) | −9.15164 | + | 25.1439i | −0.394555 | + | 1.08403i | ||||
\(539\) | 16.5314 | − | 9.86243i | 0.712057 | − | 0.424805i | ||||
\(540\) | −18.8536 | − | 7.30917i | −0.811329 | − | 0.314537i | ||||
\(541\) | 2.09293 | 0.0899820 | 0.0449910 | − | 0.998987i | \(-0.485674\pi\) | ||||
0.0449910 | + | 0.998987i | \(0.485674\pi\) | |||||||
\(542\) | 25.0166 | + | 9.10531i | 1.07456 | + | 0.391106i | ||||
\(543\) | −4.12763 | − | 4.98888i | −0.177134 | − | 0.214093i | ||||
\(544\) | 3.19468 | − | 3.80728i | 0.136971 | − | 0.163236i | ||||
\(545\) | −9.70745 | + | 55.0537i | −0.415822 | + | 2.35824i | ||||
\(546\) | −7.22639 | + | 2.63206i | −0.309261 | + | 0.112642i | ||||
\(547\) | −6.22461 | + | 5.22307i | −0.266145 | + | 0.223322i | −0.766087 | − | 0.642736i | \(-0.777799\pi\) |
0.499942 | + | 0.866059i | \(0.333355\pi\) | |||||||
\(548\) | 10.9152 | − | 6.30189i | 0.466274 | − | 0.269203i | ||||
\(549\) | −13.2266 | − | 7.88260i | −0.564496 | − | 0.336421i | ||||
\(550\) | −13.9475 | + | 24.1578i | −0.594724 | + | 1.03009i | ||||
\(551\) | 3.18433 | + | 18.0592i | 0.135657 | + | 0.769348i | ||||
\(552\) | 9.25824 | + | 0.0641170i | 0.394057 | + | 0.00272900i | ||||
\(553\) | 7.31966 | − | 43.3220i | 0.311264 | − | 1.84224i | ||||
\(554\) | −5.27437 | − | 14.4912i | −0.224087 | − | 0.615673i | ||||
\(555\) | 1.20848 | − | 2.06007i | 0.0512972 | − | 0.0874452i | ||||
\(556\) | −12.9538 | + | 2.28411i | −0.549364 | + | 0.0968677i | ||||
\(557\) | −2.48334 | − | 1.43375i | −0.105222 | − | 0.0607501i | 0.446465 | − | 0.894801i | \(-0.352683\pi\) |
−0.551688 | + | 0.834051i | \(0.686016\pi\) | |||||||
\(558\) | 18.4691 | + | 15.9385i | 0.781858 | + | 0.674728i | ||||
\(559\) | −13.8684 | + | 8.00693i | −0.586572 | + | 0.338657i | ||||
\(560\) | 1.86036 | + | 10.1265i | 0.0786147 | + | 0.427921i | ||||
\(561\) | 23.2841 | + | 4.27208i | 0.983055 | + | 0.180367i | ||||
\(562\) | 4.36919 | − | 24.7789i | 0.184303 | − | 1.04524i | ||||
\(563\) | −14.5659 | − | 12.2222i | −0.613878 | − | 0.515105i | 0.281994 | − | 0.959416i | \(-0.409004\pi\) |
−0.895873 | + | 0.444311i | \(0.853449\pi\) | |||||||
\(564\) | 2.18429 | + | 12.9099i | 0.0919752 | + | 0.543605i | ||||
\(565\) | −4.39735 | + | 12.0816i | −0.184998 | + | 0.508278i | ||||
\(566\) | 12.5661 | 0.528191 | ||||||||
\(567\) | −17.9226 | − | 15.6774i | −0.752676 | − | 0.658391i | ||||
\(568\) | 7.97440 | 0.334598 | ||||||||
\(569\) | −2.25815 | + | 6.20422i | −0.0946667 | + | 0.260095i | −0.977984 | − | 0.208682i | \(-0.933083\pi\) |
0.883317 | + | 0.468776i | \(0.155305\pi\) | |||||||
\(570\) | −8.11196 | − | 47.9445i | −0.339773 | − | 2.00817i | ||||
\(571\) | −2.31409 | − | 1.94175i | −0.0968415 | − | 0.0812597i | 0.593081 | − | 0.805142i | \(-0.297911\pi\) |
−0.689923 | + | 0.723883i | \(0.742356\pi\) | |||||||
\(572\) | −0.801420 | + | 4.54508i | −0.0335091 | + | 0.190039i | ||||
\(573\) | 23.2866 | + | 4.27255i | 0.972812 | + | 0.178488i | ||||
\(574\) | 11.0202 | − | 2.02456i | 0.459975 | − | 0.0845034i | ||||
\(575\) | −46.9578 | + | 27.1111i | −1.95827 | + | 1.13061i | ||||
\(576\) | −0.561814 | + | 2.94692i | −0.0234089 | + | 0.122789i | ||||
\(577\) | −23.9090 | − | 13.8039i | −0.995344 | − | 0.574662i | −0.0884765 | − | 0.996078i | \(-0.528200\pi\) |
−0.906867 | + | 0.421416i | \(0.861533\pi\) | |||||||
\(578\) | 7.58435 | − | 1.33733i | 0.315467 | − | 0.0556254i | ||||
\(579\) | 7.01861 | − | 11.9645i | 0.291683 | − | 0.497226i | ||||
\(580\) | 3.38318 | + | 9.29522i | 0.140479 | + | 0.385963i | ||||
\(581\) | 1.83731 | − | 10.8743i | 0.0762246 | − | 0.451141i | ||||
\(582\) | 14.8557 | + | 0.102881i | 0.615787 | + | 0.00426457i | ||||
\(583\) | 3.07254 | + | 17.4253i | 0.127252 | + | 0.721681i | ||||
\(584\) | −0.842046 | + | 1.45847i | −0.0348441 | + | 0.0603518i | ||||
\(585\) | 17.1021 | − | 9.56054i | 0.707083 | − | 0.395279i | ||||
\(586\) | −11.4832 | + | 6.62981i | −0.474366 | + | 0.273875i | ||||
\(587\) | −2.43294 | + | 2.04148i | −0.100418 | + | 0.0842609i | −0.691615 | − | 0.722267i | \(-0.743100\pi\) |
0.591196 | + | 0.806528i | \(0.298656\pi\) | |||||||
\(588\) | −2.01716 | + | 11.9554i | −0.0831863 | + | 0.493031i | ||||
\(589\) | −10.1871 | + | 57.7737i | −0.419750 | + | 2.38052i | ||||
\(590\) | 13.3631 | − | 15.9255i | 0.550149 | − | 0.655642i | ||||
\(591\) | 13.4661 | + | 16.2759i | 0.553923 | + | 0.669501i | ||||
\(592\) | −0.332974 | − | 0.121193i | −0.0136852 | − | 0.00498099i | ||||
\(593\) | −18.0122 | −0.739672 | −0.369836 | − | 0.929097i | \(-0.620586\pi\) | ||||
−0.369836 | + | 0.929097i | \(0.620586\pi\) | |||||||
\(594\) | −13.5261 | + | 4.60721i | −0.554984 | + | 0.189036i | ||||
\(595\) | −25.2679 | + | 44.4975i | −1.03588 | + | 1.82422i | ||||
\(596\) | −0.202016 | + | 0.555033i | −0.00827488 | + | 0.0227350i | ||||
\(597\) | −4.15719 | + | 11.1803i | −0.170142 | + | 0.457577i | ||||
\(598\) | −5.76644 | + | 6.87217i | −0.235807 | + | 0.281024i | ||||
\(599\) | 25.1383 | + | 4.43257i | 1.02712 | + | 0.181110i | 0.661729 | − | 0.749743i | \(-0.269823\pi\) |
0.365395 | + | 0.930853i | \(0.380934\pi\) | |||||||
\(600\) | −5.89464 | − | 16.5511i | −0.240648 | − | 0.675698i | ||||
\(601\) | 11.3131 | + | 13.4824i | 0.461469 | + | 0.549958i | 0.945725 | − | 0.324969i | \(-0.105354\pi\) |
−0.484255 | + | 0.874927i | \(0.660909\pi\) | |||||||
\(602\) | 0.180610 | + | 25.2448i | 0.00736112 | + | 1.02890i | ||||
\(603\) | 3.65310 | − | 2.98008i | 0.148766 | − | 0.121358i | ||||
\(604\) | −9.05469 | + | 15.6832i | −0.368430 | + | 0.638140i | ||||
\(605\) | −2.32301 | − | 13.1745i | −0.0944438 | − | 0.535618i | ||||
\(606\) | −2.63671 | + | 1.49806i | −0.107109 | + | 0.0608544i | ||||
\(607\) | −2.13495 | − | 5.86573i | −0.0866550 | − | 0.238083i | 0.888795 | − | 0.458306i | \(-0.151544\pi\) |
−0.975449 | + | 0.220223i | \(0.929321\pi\) | |||||||
\(608\) | −6.77916 | + | 2.46741i | −0.274931 | + | 0.100067i | ||||
\(609\) | 0.00266676 | + | 11.6484i | 0.000108062 | + | 0.472017i | ||||
\(610\) | −3.46825 | − | 19.6694i | −0.140425 | − | 0.796392i | ||||
\(611\) | −10.9871 | − | 6.34342i | −0.444491 | − | 0.256627i | ||||
\(612\) | −11.5535 | + | 9.42494i | −0.467021 | + | 0.380981i | ||||
\(613\) | −0.906241 | − | 1.56966i | −0.0366027 | − | 0.0633978i | 0.847144 | − | 0.531364i | \(-0.178320\pi\) |
−0.883746 | + | 0.467966i | \(0.844987\pi\) | |||||||
\(614\) | −13.5997 | + | 11.4115i | −0.548840 | + | 0.460531i | ||||
\(615\) | −26.8902 | + | 9.57688i | −1.08432 | + | 0.386177i | ||||
\(616\) | 5.60685 | + | 4.63676i | 0.225906 | + | 0.186820i | ||||
\(617\) | −24.8564 | + | 29.6227i | −1.00068 | + | 1.19256i | −0.0194332 | + | 0.999811i | \(0.506186\pi\) |
−0.981247 | + | 0.192753i | \(0.938258\pi\) | |||||||
\(618\) | 4.79632 | + | 1.78343i | 0.192936 | + | 0.0717400i | ||||
\(619\) | 4.30111 | − | 11.8172i | 0.172876 | − | 0.474973i | −0.822750 | − | 0.568404i | \(-0.807561\pi\) |
0.995626 | + | 0.0934307i | \(0.0297834\pi\) | |||||||
\(620\) | 31.6450i | 1.27089i | ||||||||
\(621\) | −27.2473 | − | 5.39035i | −1.09340 | − | 0.216307i | ||||
\(622\) | 27.7552i | 1.11288i | ||||||||
\(623\) | 9.37397 | − | 7.98067i | 0.375560 | − | 0.319739i | ||||
\(624\) | −1.85302 | − | 2.23966i | −0.0741803 | − | 0.0896583i | ||||
\(625\) | 20.8188 | + | 17.4690i | 0.832751 | + | 0.698761i | ||||
\(626\) | 4.89518 | − | 27.7620i | 0.195651 | − | 1.10959i | ||||
\(627\) | −26.1692 | − | 22.2692i | −1.04510 | − | 0.889348i | ||||
\(628\) | −1.48955 | − | 1.77518i | −0.0594396 | − | 0.0708374i | ||||
\(629\) | −0.880552 | − | 1.52516i | −0.0351099 | − | 0.0608121i | ||||
\(630\) | 0.206834 | − | 30.8871i | 0.00824047 | − | 1.23057i | ||||
\(631\) | 4.91349 | − | 8.51042i | 0.195603 | − | 0.338795i | −0.751495 | − | 0.659739i | \(-0.770667\pi\) |
0.947098 | + | 0.320944i | \(0.104000\pi\) | |||||||
\(632\) | 16.3540 | − | 2.88364i | 0.650526 | − | 0.114705i | ||||
\(633\) | 28.0705 | + | 0.194400i | 1.11570 | + | 0.00772669i | ||||
\(634\) | −8.79661 | + | 3.20170i | −0.349358 | + | 0.127156i | ||||
\(635\) | −44.3677 | + | 16.1485i | −1.76068 | + | 0.640835i | ||||
\(636\) | −9.61260 | − | 5.63896i | −0.381165 | − | 0.223599i | ||||
\(637\) | −7.67939 | − | 8.89045i | −0.304269 | − | 0.352252i | ||||
\(638\) | 6.05362 | + | 3.49506i | 0.239665 | + | 0.138371i | ||||
\(639\) | −23.5000 | − | 4.48013i | −0.929644 | − | 0.177231i | ||||
\(640\) | −3.37014 | + | 1.94575i | −0.133216 | + | 0.0769125i | ||||
\(641\) | −16.5805 | − | 19.7598i | −0.654890 | − | 0.780467i | 0.331753 | − | 0.943366i | \(-0.392360\pi\) |
−0.986643 | + | 0.162899i | \(0.947915\pi\) | |||||||
\(642\) | 2.12603 | − | 11.5875i | 0.0839078 | − | 0.457322i | ||||
\(643\) | −10.6331 | − | 1.87490i | −0.419327 | − | 0.0739388i | −0.0399966 | − | 0.999200i | \(-0.512735\pi\) |
−0.379331 | + | 0.925261i | \(0.623846\pi\) | |||||||
\(644\) | 4.93198 | + | 13.2547i | 0.194347 | + | 0.522308i | ||||
\(645\) | −10.7293 | − | 63.4136i | −0.422464 | − | 2.49691i | ||||
\(646\) | −33.6927 | − | 12.2632i | −1.32562 | − | 0.482487i | ||||
\(647\) | 39.5343 | 1.55425 | 0.777126 | − | 0.629345i | \(-0.216677\pi\) | ||||
0.777126 | + | 0.629345i | \(0.216677\pi\) | |||||||
\(648\) | 3.31125 | − | 8.36873i | 0.130078 | − | 0.328755i | ||||
\(649\) | − | 14.6910i | − | 0.576671i | ||||||
\(650\) | 15.9973 | + | 5.82254i | 0.627466 | + | 0.228379i | ||||
\(651\) | −12.7373 | + | 35.0203i | −0.499213 | + | 1.37255i | ||||
\(652\) | −12.9374 | − | 10.8558i | −0.506667 | − | 0.425144i | ||||
\(653\) | 15.9540 | + | 2.81312i | 0.624328 | + | 0.110086i | 0.476858 | − | 0.878981i | \(-0.341776\pi\) |
0.147471 | + | 0.989066i | \(0.452887\pi\) | |||||||
\(654\) | −24.4731 | − | 4.49024i | −0.956974 | − | 0.175582i | ||||
\(655\) | 66.6108 | − | 55.8931i | 2.60270 | − | 2.18392i | ||||
\(656\) | 2.11748 | + | 3.66758i | 0.0826736 | + | 0.143195i | ||||
\(657\) | 3.30083 | − | 3.82492i | 0.128778 | − | 0.149224i | ||||
\(658\) | −17.2489 | + | 10.1239i | −0.672433 | + | 0.394670i | ||||
\(659\) | 36.4944 | − | 6.43494i | 1.42162 | − | 0.250670i | 0.590622 | − | 0.806948i | \(-0.298882\pi\) |
0.830996 | + | 0.556278i | \(0.187771\pi\) | |||||||
\(660\) | −15.9877 | − | 9.37871i | −0.622320 | − | 0.365066i | ||||
\(661\) | −11.2106 | − | 30.8008i | −0.436040 | − | 1.19801i | −0.942047 | − | 0.335481i | \(-0.891101\pi\) |
0.506007 | − | 0.862530i | \(-0.331121\pi\) | |||||||
\(662\) | 6.88499 | + | 18.9164i | 0.267593 | + | 0.735205i | ||||
\(663\) | 0.100050 | − | 14.4468i | 0.00388563 | − | 0.561069i | ||||
\(664\) | 4.10502 | − | 0.723826i | 0.159306 | − | 0.0280899i | ||||
\(665\) | 64.0587 | − | 37.5979i | 2.48409 | − | 1.45798i | ||||
\(666\) | 0.913162 | + | 0.544215i | 0.0353843 | + | 0.0210879i | ||||
\(667\) | 6.79368 | + | 11.7670i | 0.263052 | + | 0.455620i | ||||
\(668\) | −2.69261 | + | 2.25937i | −0.104180 | + | 0.0874175i | ||||
\(669\) | −18.8808 | + | 22.1874i | −0.729974 | + | 0.857814i | ||||
\(670\) | 6.02251 | + | 1.06193i | 0.232670 | + | 0.0410260i | ||||
\(671\) | −10.8120 | − | 9.07233i | −0.417392 | − | 0.350234i | ||||
\(672\) | −4.51277 | + | 0.796789i | −0.174084 | + | 0.0307368i | ||||
\(673\) | 22.8679 | + | 8.32324i | 0.881493 | + | 0.320837i | 0.742812 | − | 0.669500i | \(-0.233491\pi\) |
0.138681 | + | 0.990337i | \(0.455714\pi\) | |||||||
\(674\) | 22.0079i | 0.847712i | ||||||||
\(675\) | 8.07241 | + | 52.0867i | 0.310707 | + | 2.00482i | ||||
\(676\) | −10.1834 | −0.391669 | ||||||||
\(677\) | 34.4338 | + | 12.5329i | 1.32340 | + | 0.481678i | 0.904546 | − | 0.426376i | \(-0.140210\pi\) |
0.418854 | + | 0.908054i | \(0.362432\pi\) | |||||||
\(678\) | −5.36368 | − | 1.99439i | −0.205991 | − | 0.0765942i | ||||
\(679\) | 7.91381 | + | 21.2683i | 0.303704 | + | 0.816203i | ||||
\(680\) | −19.0471 | − | 3.35852i | −0.730423 | − | 0.128793i | ||||
\(681\) | 31.2195 | − | 11.1187i | 1.19633 | − | 0.426070i | ||||
\(682\) | 14.3742 | + | 17.1305i | 0.550417 | + | 0.655961i | ||||
\(683\) | 15.9286 | − | 9.19636i | 0.609490 | − | 0.351889i | −0.163276 | − | 0.986580i | \(-0.552206\pi\) |
0.772766 | + | 0.634691i | \(0.218873\pi\) | |||||||
\(684\) | 21.3639 | − | 3.46265i | 0.816869 | − | 0.132398i | ||||
\(685\) | −42.4764 | − | 24.5238i | −1.62294 | − | 0.937005i | ||||
\(686\) | −18.1657 | + | 3.60669i | −0.693569 | + | 0.137704i | ||||
\(687\) | 10.8169 | − | 6.14566i | 0.412691 | − | 0.234471i | ||||
\(688\) | −8.96644 | + | 3.26352i | −0.341842 | + | 0.124420i | ||||
\(689\) | 10.1472 | − | 3.69330i | 0.386579 | − | 0.140703i | ||||
\(690\) | −17.7981 | − | 31.3263i | −0.677563 | − | 1.19257i | ||||
\(691\) | 14.3552 | − | 2.53121i | 0.546098 | − | 0.0962918i | 0.106209 | − | 0.994344i | \(-0.466129\pi\) |
0.439889 | + | 0.898052i | \(0.355018\pi\) | |||||||
\(692\) | 5.90416 | − | 10.2263i | 0.224442 | − | 0.388746i | ||||
\(693\) | −13.9180 | − | 16.8142i | −0.528700 | − | 0.638718i | ||||
\(694\) | −12.1699 | − | 21.0789i | −0.461963 | − | 0.800143i | ||||
\(695\) | 32.9026 | + | 39.2118i | 1.24807 | + | 1.48739i | ||||
\(696\) | −4.14750 | + | 1.47712i | −0.157211 | + | 0.0559901i | ||||
\(697\) | −3.65493 | + | 20.7281i | −0.138440 | + | 0.785135i | ||||
\(698\) | 13.4592 | + | 11.2936i | 0.509439 | + | 0.427470i | ||||
\(699\) | 8.55811 | − | 23.0160i | 0.323698 | − | 0.870546i | ||||
\(700\) | 20.4350 | − | 17.3977i | 0.772372 | − | 0.657571i | ||||
\(701\) | − | 27.2657i | − | 1.02981i | −0.857246 | − | 0.514906i | \(-0.827827\pi\) | ||
0.857246 | − | 0.514906i | \(-0.172173\pi\) | |||||||
\(702\) | 4.20244 | + | 7.64117i | 0.158611 | + | 0.288398i | ||||
\(703\) | 2.55632i | 0.0964133i | ||||||||
\(704\) | −0.940545 | + | 2.58413i | −0.0354481 | + | 0.0973929i | ||||
\(705\) | 39.2580 | − | 32.4808i | 1.47854 | − | 1.22330i | ||||
\(706\) | 7.71672 | − | 9.19643i | 0.290423 | − | 0.346112i | ||||
\(707\) | −3.56977 | − | 2.95213i | −0.134255 | − | 0.111026i | ||||
\(708\) | 7.04686 | + | 5.99666i | 0.264837 | + | 0.225368i | ||||
\(709\) | 32.5801 | − | 27.3380i | 1.22357 | − | 1.02670i | 0.224943 | − | 0.974372i | \(-0.427780\pi\) |
0.998630 | − | 0.0523278i | \(-0.0166641\pi\) | |||||||
\(710\) | −15.5162 | − | 26.8748i | −0.582312 | − | 1.00859i | ||||
\(711\) | −49.8140 | − | 0.689996i | −1.86817 | − | 0.0258769i | ||||
\(712\) | 4.02974 | + | 2.32657i | 0.151021 | + | 0.0871920i | ||||
\(713\) | 7.54808 | + | 42.8073i | 0.282678 | + | 1.60315i | ||||
\(714\) | −19.7269 | − | 11.3833i | −0.738259 | − | 0.426009i | ||||
\(715\) | 16.8769 | − | 6.14269i | 0.631160 | − | 0.229724i | ||||
\(716\) | 3.80235 | + | 10.4469i | 0.142100 | + | 0.390418i | ||||
\(717\) | −8.17520 | − | 4.79575i | −0.305308 | − | 0.179100i | ||||
\(718\) | −2.68665 | − | 15.2368i | −0.100265 | − | 0.568631i | ||||
\(719\) | −2.10155 | + | 3.63999i | −0.0783746 | + | 0.135749i | −0.902549 | − | 0.430588i | \(-0.858306\pi\) |
0.824174 | + | 0.566336i | \(0.191640\pi\) | |||||||
\(720\) | 11.0247 | − | 3.84059i | 0.410866 | − | 0.143130i | ||||
\(721\) | 0.0559211 | + | 7.81638i | 0.00208261 | + | 0.291097i | ||||
\(722\) | 21.2410 | + | 25.3141i | 0.790509 | + | 0.942091i | ||||
\(723\) | −3.59934 | − | 0.660394i | −0.133861 | − | 0.0245603i | ||||
\(724\) | 3.68157 | + | 0.649161i | 0.136825 | + | 0.0241259i | ||||
\(725\) | 16.5738 | − | 19.7519i | 0.615537 | − | 0.733569i | ||||
\(726\) | 5.87078 | − | 0.993307i | 0.217885 | − | 0.0368651i | ||||
\(727\) | 5.68368 | − | 15.6158i | 0.210796 | − | 0.579157i | −0.788563 | − | 0.614954i | \(-0.789175\pi\) |
0.999359 | + | 0.0357966i | \(0.0113969\pi\) | |||||||
\(728\) | 2.19258 | − | 3.86119i | 0.0812623 | − | 0.143105i | ||||
\(729\) | −14.4597 | + | 22.8017i | −0.535543 | + | 0.844508i | ||||
\(730\) | 6.55364 | 0.242561 | ||||||||
\(731\) | −44.5636 | − | 16.2198i | −1.64824 | − | 0.599912i | ||||
\(732\) | 8.76507 | − | 1.48301i | 0.323966 | − | 0.0548135i | ||||
\(733\) | −34.3190 | + | 40.8998i | −1.26760 | + | 1.51067i | −0.506152 | + | 0.862444i | \(0.668933\pi\) |
−0.761449 | + | 0.648224i | \(0.775512\pi\) | |||||||
\(734\) | −2.41312 | + | 13.6855i | −0.0890700 | + | 0.505141i | ||||
\(735\) | 44.2161 | − | 16.4641i | 1.63094 | − | 0.607286i | ||||
\(736\) | −4.09479 | + | 3.43594i | −0.150936 | + | 0.126650i | ||||
\(737\) | 3.74255 | − | 2.16076i | 0.137859 | − | 0.0795927i | ||||
\(738\) | −4.17955 | − | 11.9977i | −0.153851 | − | 0.441642i | ||||
\(739\) | −10.2380 | + | 17.7327i | −0.376609 | + | 0.652307i | −0.990567 | − | 0.137033i | \(-0.956243\pi\) |
0.613957 | + | 0.789339i | \(0.289577\pi\) | |||||||
\(740\) | 0.239448 | + | 1.35798i | 0.00880229 | + | 0.0499203i | ||||
\(741\) | −10.6109 | + | 18.0881i | −0.389800 | + | 0.664483i | ||||
\(742\) | 2.83609 | − | 16.7856i | 0.104116 | − | 0.616219i | ||||
\(743\) | −3.65287 | − | 10.0362i | −0.134011 | − | 0.368192i | 0.854478 | − | 0.519488i | \(-0.173877\pi\) |
−0.988488 | + | 0.151296i | \(0.951655\pi\) | |||||||
\(744\) | −14.0844 | − | 0.0975402i | −0.516359 | − | 0.00357600i | ||||
\(745\) | 2.26361 | − | 0.399135i | 0.0829322 | − | 0.0146232i | ||||
\(746\) | −29.3924 | − | 16.9697i | −1.07613 | − | 0.621304i | ||||
\(747\) | −12.5038 | − | 0.173196i | −0.457491 | − | 0.00633693i | ||||
\(748\) | −11.8364 | + | 6.83374i | −0.432781 | + | 0.249866i | ||||
\(749\) | 17.6994 | − | 3.25162i | 0.646723 | − | 0.118812i | ||||
\(750\) | −22.4690 | + | 26.4040i | −0.820453 | + | 0.964139i | ||||
\(751\) | −0.707778 | + | 4.01401i | −0.0258272 | + | 0.146473i | −0.994994 | − | 0.0999307i | \(-0.968138\pi\) |
0.969167 | + | 0.246404i | \(0.0792490\pi\) | |||||||
\(752\) | −5.79089 | − | 4.85913i | −0.211172 | − | 0.177194i | ||||
\(753\) | −0.0238802 | + | 0.0197576i | −0.000870242 | + | 0.000720009i | ||||
\(754\) | 1.45905 | − | 4.00871i | 0.0531356 | − | 0.145989i | ||||
\(755\) | 70.4726 | 2.56476 | ||||||||
\(756\) | 13.7465 | + | 0.187261i | 0.499954 | + | 0.00681061i | ||||
\(757\) | −29.7948 | −1.08291 | −0.541456 | − | 0.840729i | \(-0.682127\pi\) | ||||
−0.541456 | + | 0.840729i | \(0.682127\pi\) | |||||||
\(758\) | −2.01256 | + | 5.52946i | −0.0730994 | + | 0.200839i | ||||
\(759\) | −23.8641 | − | 8.87347i | −0.866213 | − | 0.322087i | ||||
\(760\) | 21.5061 | + | 18.0457i | 0.780107 | + | 0.654587i | ||||
\(761\) | −1.45761 | + | 8.26651i | −0.0528383 | + | 0.299661i | −0.999762 | − | 0.0217963i | \(-0.993061\pi\) |
0.946924 | + | 0.321457i | \(0.104173\pi\) | |||||||
\(762\) | −7.05056 | − | 19.7968i | −0.255415 | − | 0.717161i | ||||
\(763\) | −6.86751 | − | 37.3817i | −0.248621 | − | 1.35331i | ||||
\(764\) | −11.8377 | + | 6.83448i | −0.428272 | + | 0.247263i | ||||
\(765\) | 54.2435 | + | 20.5982i | 1.96118 | + | 0.744730i | ||||
\(766\) | 19.8041 | + | 11.4339i | 0.715549 | + | 0.413123i | ||||
\(767\) | −8.82950 | + | 1.55688i | −0.318815 | + | 0.0562156i | ||||
\(768\) | −0.855617 | − | 1.50596i | −0.0308744 | − | 0.0543417i | ||||
\(769\) | −2.77761 | − | 7.63141i | −0.100163 | − | 0.275196i | 0.879482 | − | 0.475932i | \(-0.157889\pi\) |
−0.979645 | + | 0.200736i | \(0.935667\pi\) | |||||||
\(770\) | 4.71698 | − | 27.9178i | 0.169988 | − | 1.00609i | ||||
\(771\) | 16.9361 | + | 29.8090i | 0.609938 | + | 1.07355i | ||||
\(772\) | 1.39067 | + | 7.88686i | 0.0500512 | + | 0.283854i | ||||
\(773\) | −26.0125 | + | 45.0550i | −0.935604 | + | 1.62051i | −0.162052 | + | 0.986782i | \(0.551811\pi\) |
−0.773553 | + | 0.633732i | \(0.781522\pi\) | |||||||
\(774\) | 28.2569 | − | 4.57987i | 1.01567 | − | 0.164620i | ||||
\(775\) | 71.4361 | − | 41.2437i | 2.56606 | − | 1.48152i | ||||
\(776\) | −6.57046 | + | 5.51327i | −0.235866 | + | 0.197915i | ||||
\(777\) | −0.281605 | + | 1.59920i | −0.0101025 | + | 0.0573710i | ||||
\(778\) | −6.09083 | + | 34.5428i | −0.218367 | + | 1.23842i | ||||
\(779\) | 19.6384 | − | 23.4041i | 0.703619 | − | 0.838540i | ||||
\(780\) | −3.94245 | + | 10.6028i | −0.141163 | + | 0.379640i | ||||
\(781\) | −20.6069 | − | 7.50028i | −0.737371 | − | 0.268381i | ||||
\(782\) | −26.5667 | −0.950025 | ||||||||
\(783\) | 13.0522 | − | 2.02284i | 0.466449 | − | 0.0722904i | ||||
\(784\) | −3.58638 | − | 6.01148i | −0.128085 | − | 0.214696i | ||||
\(785\) | −3.08430 | + | 8.47405i | −0.110083 | + | 0.302452i | ||||
\(786\) | 24.6713 | + | 29.8191i | 0.879996 | + | 1.06361i | ||||
\(787\) | 32.1979 | − | 38.3719i | 1.14773 | − | 1.36781i | 0.228761 | − | 0.973483i | \(-0.426533\pi\) |
0.918969 | − | 0.394329i | \(-0.129023\pi\) | |||||||
\(788\) | −12.0109 | − | 2.11785i | −0.427871 | − | 0.0754452i | ||||
\(789\) | −11.2271 | + | 13.1933i | −0.399695 | + | 0.469693i | ||||
\(790\) | −41.5390 | − | 49.5042i | −1.47789 | − | 1.76128i | ||||
\(791\) | −0.0625361 | − | 8.74099i | −0.00222353 | − | 0.310794i | ||||
\(792\) | 4.22351 | − | 7.08681i | 0.150076 | − | 0.251819i | ||||
\(793\) | −4.30681 | + | 7.45962i | −0.152939 | + | 0.264899i | ||||
\(794\) | −1.89672 | − | 10.7568i | −0.0673120 | − | 0.381745i | ||||
\(795\) | −0.300339 | + | 43.3678i | −0.0106519 | + | 1.53810i | ||||
\(796\) | −2.35539 | − | 6.47139i | −0.0834847 | − | 0.229372i | ||||
\(797\) | −12.2234 | + | 4.44894i | −0.432974 | + | 0.157589i | −0.549307 | − | 0.835621i | \(-0.685108\pi\) |
0.116333 | + | 0.993210i | \(0.462886\pi\) | |||||||
\(798\) | 16.5364 | + | 28.6268i | 0.585384 | + | 1.01338i | ||||
\(799\) | −6.52411 | − | 37.0001i | −0.230807 | − | 1.30897i | ||||
\(800\) | 8.78475 | + | 5.07188i | 0.310588 | + | 0.179318i | ||||
\(801\) | −10.5682 | − | 9.12020i | −0.373411 | − | 0.322246i | ||||
\(802\) | −2.75571 | − | 4.77302i | −0.0973073 | − | 0.168541i | ||||
\(803\) | 3.54771 | − | 2.97688i | 0.125196 | − | 0.105052i | ||||
\(804\) | −0.491203 | + | 2.67720i | −0.0173234 | + | 0.0944175i | ||||
\(805\) | 35.0737 | − | 42.4117i | 1.23619 | − | 1.49482i | ||||
\(806\) | 8.77239 | − | 10.4545i | 0.308994 | − | 0.368245i | ||||
\(807\) | 7.73155 | + | 45.6961i | 0.272163 | + | 1.60858i | ||||
\(808\) | 0.598826 | − | 1.64526i | 0.0210666 | − | 0.0578801i | ||||
\(809\) | 51.6997i | 1.81767i | 0.417160 | + | 0.908833i | \(0.363026\pi\) | ||||
−0.417160 | + | 0.908833i | \(0.636974\pi\) | |||||||
\(810\) | −34.6466 | + | 5.12410i | −1.21736 | + | 0.180043i | ||||
\(811\) | 26.0086i | 0.913284i | 0.889650 | + | 0.456642i | \(0.150948\pi\) | ||||
−0.889650 | + | 0.456642i | \(0.849052\pi\) | |||||||
\(812\) | −4.35963 | − | 5.12075i | −0.152993 | − | 0.179703i | ||||
\(813\) | 45.4647 | − | 7.69240i | 1.59452 | − | 0.269784i | ||||
\(814\) | 0.746460 | + | 0.626354i | 0.0261634 | + | 0.0219537i | ||||
\(815\) | −11.4125 | + | 64.7233i | −0.399761 | + | 2.26716i | ||||
\(816\) | 1.55350 | − | 8.46704i | 0.0543834 | − | 0.296406i | ||||
\(817\) | 44.2478 | + | 52.7325i | 1.54803 | + | 1.84488i | ||||
\(818\) | −7.64449 | − | 13.2406i | −0.267283 | − | 0.462948i | ||||
\(819\) | −8.63063 | + | 10.1468i | −0.301579 | + | 0.354558i | ||||
\(820\) | 8.24016 | − | 14.2724i | 0.287759 | − | 0.498413i | ||||
\(821\) | 35.9281 | − | 6.33509i | 1.25390 | − | 0.221096i | 0.493036 | − | 0.870009i | \(-0.335887\pi\) |
0.760863 | + | 0.648913i | \(0.224776\pi\) | |||||||
\(822\) | 11.0459 | − | 18.8296i | 0.385268 | − | 0.656758i | ||||
\(823\) | −31.1346 | + | 11.3321i | −1.08529 | + | 0.395011i | −0.821872 | − | 0.569672i | \(-0.807070\pi\) |
−0.263413 | + | 0.964683i | \(0.584848\pi\) | |||||||
\(824\) | −2.77622 | + | 1.01046i | −0.0967142 | + | 0.0352011i | ||||
\(825\) | −0.334597 | + | 48.3144i | −0.0116492 | + | 1.68209i | ||||
\(826\) | −4.73904 | + | 13.3161i | −0.164892 | + | 0.463325i | ||||
\(827\) | −34.8967 | − | 20.1476i | −1.21348 | − | 0.700601i | −0.249962 | − | 0.968256i | \(-0.580418\pi\) |
−0.963515 | + | 0.267654i | \(0.913752\pi\) | |||||||
\(828\) | 13.9974 | − | 7.82494i | 0.486443 | − | 0.271936i | ||||
\(829\) | 8.06805 | − | 4.65809i | 0.280215 | − | 0.161782i | −0.353306 | − | 0.935508i | \(-0.614942\pi\) |
0.633521 | + | 0.773726i | \(0.281609\pi\) | |||||||
\(830\) | −10.4267 | − | 12.4261i | −0.361917 | − | 0.431316i | ||||
\(831\) | −20.3419 | − | 17.3104i | −0.705654 | − | 0.600490i | ||||
\(832\) | 1.65277 | + | 0.291429i | 0.0572997 | + | 0.0101035i | ||||
\(833\) | 5.55044 | − | 34.3447i | 0.192311 | − | 1.18997i | ||||
\(834\) | −17.5536 | + | 14.5233i | −0.607832 | + | 0.502900i | ||||
\(835\) | 12.8535 | + | 4.67830i | 0.444814 | + | 0.161899i | ||||
\(836\) | 19.8389 | 0.686143 | ||||||||
\(837\) | 41.4509 | + | 8.20026i | 1.43275 | + | 0.283442i | ||||
\(838\) | − | 8.30327i | − | 0.286832i | ||||||
\(839\) | −46.5072 | − | 16.9273i | −1.60561 | − | 0.584394i | −0.625044 | − | 0.780590i | \(-0.714919\pi\) |
−0.980565 | + | 0.196196i | \(0.937141\pi\) | |||||||
\(840\) | 11.4660 | + | 13.6583i | 0.395615 | + | 0.471256i | ||||
\(841\) | 17.2657 | + | 14.4877i | 0.595369 | + | 0.499574i | ||||
\(842\) | −19.3340 | − | 3.40910i | −0.666293 | − | 0.117485i | ||||
\(843\) | −14.6214 | − | 41.0545i | −0.503589 | − | 1.41399i | ||||
\(844\) | −12.4152 | + | 10.4176i | −0.427349 | + | 0.358589i | ||||
\(845\) | 19.8143 | + | 34.3195i | 0.681634 | + | 1.18063i | ||||
\(846\) | 14.3354 | + | 17.5729i | 0.492860 | + | 0.604168i | ||||
\(847\) | 4.60385 | + | 7.84396i | 0.158190 | + | 0.269522i | ||||
\(848\) | 6.33653 | − | 1.11730i | 0.217597 | − | 0.0383683i | ||||
\(849\) | 18.9240 | − | 10.7517i | 0.649470 | − | 0.368998i | ||||
\(850\) | 17.2429 | + | 47.3745i | 0.591427 | + | 1.62493i | ||||
\(851\) | 0.647820 | + | 1.77987i | 0.0222070 | + | 0.0610132i | ||||
\(852\) | 12.0091 | − | 6.82303i | 0.411426 | − | 0.233753i | ||||
\(853\) | −37.4492 | + | 6.60330i | −1.28224 | + | 0.226093i | −0.772929 | − | 0.634492i | \(-0.781209\pi\) |
−0.509307 | + | 0.860585i | \(0.670098\pi\) | |||||||
\(854\) | 6.87354 | + | 11.7110i | 0.235208 | + | 0.400743i | ||||
\(855\) | −53.2384 | − | 65.2618i | −1.82072 | − | 2.23191i | ||||
\(856\) | 3.40086 | + | 5.89046i | 0.116239 | + | 0.201332i | ||||
\(857\) | 26.4169 | − | 22.1664i | 0.902383 | − | 0.757189i | −0.0682716 | − | 0.997667i | \(-0.521748\pi\) |
0.970655 | + | 0.240477i | \(0.0773040\pi\) | |||||||
\(858\) | 2.68194 | + | 7.53042i | 0.0915599 | + | 0.257084i | ||||
\(859\) | 8.59516 | + | 1.51556i | 0.293263 | + | 0.0517102i | 0.318344 | − | 0.947975i | \(-0.396873\pi\) |
−0.0250811 | + | 0.999685i | \(0.507984\pi\) | |||||||
\(860\) | 28.4449 | + | 23.8681i | 0.969964 | + | 0.813896i | ||||
\(861\) | 14.8638 | − | 12.4780i | 0.506556 | − | 0.425248i | ||||
\(862\) | −14.4373 | − | 5.25474i | −0.491736 | − | 0.178977i | ||||
\(863\) | − | 19.9087i | − | 0.677701i | −0.940840 | − | 0.338850i | \(-0.889962\pi\) | ||
0.940840 | − | 0.338850i | \(-0.110038\pi\) | |||||||
\(864\) | 1.67537 | + | 4.91865i | 0.0569972 | + | 0.167336i | ||||
\(865\) | −45.9520 | −1.56242 | ||||||||
\(866\) | −10.0097 | − | 3.64324i | −0.340144 | − | 0.123802i | ||||
\(867\) | 10.2775 | − | 8.50326i | 0.349042 | − | 0.288786i | ||||
\(868\) | −7.50295 | − | 20.1641i | −0.254667 | − | 0.684416i | ||||
\(869\) | −44.9729 | − | 7.92993i | −1.52560 | − | 0.269005i | ||||
\(870\) | 13.0481 | + | 11.1035i | 0.442372 | + | 0.376445i | ||||
\(871\) | −1.69527 | − | 2.02035i | −0.0574421 | − | 0.0684568i | ||||
\(872\) | 12.4408 | − | 7.18271i | 0.421299 | − | 0.243237i | ||||
\(873\) | 22.4601 | − | 12.5558i | 0.760159 | − | 0.424950i | ||||
\(874\) | 33.3963 | + | 19.2814i | 1.12965 | + | 0.652202i | ||||
\(875\) | −49.8942 | − | 17.7568i | −1.68673 | − | 0.600290i | ||||
\(876\) | −0.0202005 | + | 2.91686i | −0.000682510 | + | 0.0985517i | ||||
\(877\) | 27.9768 | − | 10.1827i | 0.944711 | − | 0.343847i | 0.176686 | − | 0.984267i | \(-0.443462\pi\) |
0.768024 | + | 0.640421i | \(0.221240\pi\) | |||||||
\(878\) | −18.7010 | + | 6.80660i | −0.631127 | + | 0.229712i | ||||
\(879\) | −11.6206 | + | 19.8094i | −0.391954 | + | 0.668156i | ||||
\(880\) | 10.5389 | − | 1.85830i | 0.355267 | − | 0.0626431i | ||||
\(881\) | 4.75324 | − | 8.23286i | 0.160141 | − | 0.277372i | −0.774778 | − | 0.632233i | \(-0.782138\pi\) |
0.934919 | + | 0.354861i | \(0.115472\pi\) | |||||||
\(882\) | 7.19146 | + | 19.7303i | 0.242149 | + | 0.664352i | ||||
\(883\) | 24.7631 | + | 42.8910i | 0.833345 | + | 1.44340i | 0.895371 | + | 0.445322i | \(0.146911\pi\) |
−0.0620253 | + | 0.998075i | \(0.519756\pi\) | |||||||
\(884\) | 5.36155 | + | 6.38964i | 0.180328 | + | 0.214907i | ||||
\(885\) | 6.49816 | − | 35.4169i | 0.218433 | − | 1.19052i | ||||
\(886\) | 3.08489 | − | 17.4953i | 0.103639 | − | 0.587765i | ||||
\(887\) | −28.7681 | − | 24.1393i | −0.965938 | − | 0.810518i | 0.0159708 | − | 0.999872i | \(-0.494916\pi\) |
−0.981909 | + | 0.189354i | \(0.939361\pi\) | |||||||
\(888\) | −0.605141 | + | 0.102387i | −0.0203072 | + | 0.00343587i | ||||
\(889\) | 24.4423 | − | 20.8093i | 0.819767 | − | 0.697921i | ||||
\(890\) | − | 18.1077i | − | 0.606972i | ||||||
\(891\) | −16.4278 | + | 18.5115i | −0.550353 | + | 0.620158i | ||||
\(892\) | − | 16.8203i | − | 0.563184i | ||||||
\(893\) | −18.6523 | + | 51.2468i | −0.624176 | + | 1.71491i | ||||
\(894\) | 0.170668 | + | 1.00871i | 0.00570799 | + | 0.0337362i | ||||
\(895\) | 27.8090 | − | 33.1414i | 0.929551 | − | 1.10780i | ||||
\(896\) | 1.68611 | − | 2.03888i | 0.0563291 | − | 0.0681141i | ||||
\(897\) | −2.80409 | + | 15.2831i | −0.0936257 | + | 0.510288i | ||||
\(898\) | 7.21294 | − | 6.05238i | 0.240699 | − | 0.201970i | ||||
\(899\) | −10.3351 | − | 17.9010i | −0.344696 | − | 0.597030i | ||||
\(900\) | −23.0385 | − | 19.8818i | −0.767952 | − | 0.662728i | ||||
\(901\) | 27.6943 | + | 15.9893i | 0.922633 | + | 0.532682i | ||||
\(902\) | −2.02231 | − | 11.4691i | −0.0673354 | − | 0.381878i | ||||
\(903\) | 21.8719 | + | 37.8632i | 0.727850 | + | 1.26001i | ||||
\(904\) | 3.10462 | − | 1.12999i | 0.103258 | − | 0.0375829i | ||||
\(905\) | −4.97566 | − | 13.6705i | −0.165397 | − | 0.454423i | ||||
\(906\) | −0.217220 | + | 31.3656i | −0.00721664 | + | 1.04205i | ||||
\(907\) | −0.149258 | − | 0.846482i | −0.00495602 | − | 0.0281070i | 0.982229 | − | 0.187684i | \(-0.0600981\pi\) |
−0.987185 | + | 0.159577i | \(0.948987\pi\) | |||||||
\(908\) | −9.56678 | + | 16.5702i | −0.317485 | + | 0.549900i | ||||
\(909\) | −2.68903 | + | 4.51203i | −0.0891894 | + | 0.149655i | ||||
\(910\) | −17.2789 | + | 0.123620i | −0.572791 | + | 0.00409795i | ||||
\(911\) | 8.53917 | + | 10.1766i | 0.282915 | + | 0.337165i | 0.888722 | − | 0.458447i | \(-0.151594\pi\) |
−0.605807 | + | 0.795612i | \(0.707150\pi\) | |||||||
\(912\) | −8.09800 | + | 9.51619i | −0.268151 | + | 0.315113i | ||||
\(913\) | −11.2887 | − | 1.99050i | −0.373601 | − | 0.0658759i | ||||
\(914\) | 16.7956 | − | 20.0162i | 0.555548 | − | 0.662076i | ||||
\(915\) | −22.0526 | − | 26.6539i | −0.729035 | − | 0.881152i | ||||
\(916\) | −2.45664 | + | 6.74955i | −0.0811695 | + | 0.223011i | ||||
\(917\) | −29.1922 | + | 51.4082i | −0.964010 | + | 1.69765i | ||||
\(918\) | −9.33495 | + | 24.0789i | −0.308099 | + | 0.794723i | ||||
\(919\) | −41.8388 | −1.38013 | −0.690067 | − | 0.723746i | \(-0.742419\pi\) | ||||
−0.690067 | + | 0.723746i | \(0.742419\pi\) | |||||||
\(920\) | 19.5470 | + | 7.11453i | 0.644446 | + | 0.234559i | ||||
\(921\) | −10.7168 | + | 28.8214i | −0.353129 | + | 0.949699i | ||||
\(922\) | 1.00979 | − | 1.20342i | 0.0332558 | − | 0.0396327i | ||||
\(923\) | −2.32397 | + | 13.1799i | −0.0764944 | + | 0.433821i | ||||
\(924\) | 12.4110 | + | 2.18546i | 0.408292 | + | 0.0718964i | ||||
\(925\) | 2.75345 | − | 2.31042i | 0.0905329 | − | 0.0759661i | ||||
\(926\) | −3.27082 | + | 1.88841i | −0.107486 | + | 0.0620569i | ||||
\(927\) | 8.74900 | − | 1.41803i | 0.287355 | − | 0.0465744i | ||||
\(928\) | 1.27095 | − | 2.20134i | 0.0417208 | − | 0.0722626i | ||||
\(929\) | −2.46186 | − | 13.9619i | −0.0807709 | − | 0.458075i | −0.998189 | − | 0.0601508i | \(-0.980842\pi\) |
0.917418 | − | 0.397924i | \(-0.130269\pi\) | |||||||
\(930\) | 27.0760 | + | 47.6562i | 0.887857 | + | 1.56271i | ||||
\(931\) | −31.9037 | + | 39.1454i | −1.04560 | + | 1.28294i | ||||
\(932\) | 4.84889 | + | 13.3222i | 0.158831 | + | 0.436383i | ||||
\(933\) | 23.7478 | + | 41.7982i | 0.777468 | + | 1.36841i | ||||
\(934\) | −30.6620 | + | 5.40653i | −1.00329 | + | 0.176907i | ||||
\(935\) | 46.0612 | + | 26.5935i | 1.50636 | + | 0.869699i | ||||
\(936\) | −4.70687 | − | 1.78737i | −0.153849 | − | 0.0584220i | ||||
\(937\) | −1.73753 | + | 1.00316i | −0.0567625 | + | 0.0327719i | −0.528113 | − | 0.849174i | \(-0.677100\pi\) |
0.471350 | + | 0.881946i | \(0.343767\pi\) | |||||||
\(938\) | −4.08932 | + | 0.751261i | −0.133521 | + | 0.0245295i | ||||
\(939\) | −16.3816 | − | 45.9968i | −0.534595 | − | 1.50105i | ||||
\(940\) | −5.10832 | + | 28.9707i | −0.166615 | + | 0.944921i | ||||
\(941\) | 13.0465 | + | 10.9473i | 0.425305 | + | 0.356873i | 0.830177 | − | 0.557500i | \(-0.188239\pi\) |
−0.404872 | + | 0.914373i | \(0.632684\pi\) | |||||||
\(942\) | −3.76208 | − | 1.39887i | −0.122575 | − | 0.0455775i | ||||
\(943\) | 7.74245 | − | 21.2722i | 0.252129 | − | 0.692718i | ||||
\(944\) | −5.34223 | −0.173875 | ||||||||
\(945\) | −26.1160 | − | 46.6918i | −0.849555 | − | 1.51888i | ||||
\(946\) | 26.2399 | 0.853132 | ||||||||
\(947\) | 18.0611 | − | 49.6224i | 0.586906 | − | 1.61251i | −0.189221 | − | 0.981935i | \(-0.560596\pi\) |
0.776127 | − | 0.630577i | \(-0.217182\pi\) | |||||||
\(948\) | 22.1611 | − | 18.3354i | 0.719760 | − | 0.595505i | ||||
\(949\) | −2.16512 | − | 1.81675i | −0.0702828 | − | 0.0589743i | ||||
\(950\) | 12.7075 | − | 72.0676i | 0.412285 | − | 2.33818i | ||||
\(951\) | −10.5079 | + | 12.3482i | −0.340743 | + | 0.400417i | ||||
\(952\) | 12.9331 | − | 2.37597i | 0.419163 | − | 0.0770057i | ||||
\(953\) | 27.3754 | − | 15.8052i | 0.886777 | − | 0.511981i | 0.0138903 | − | 0.999904i | \(-0.495578\pi\) |
0.872887 | + | 0.487922i | \(0.162245\pi\) | |||||||
\(954\) | −19.3010 | − | 0.267347i | −0.624893 | − | 0.00865568i | ||||
\(955\) | 46.0662 | + | 26.5964i | 1.49067 | + | 0.860638i | ||||
\(956\) | 5.38901 | − | 0.950228i | 0.174293 | − | 0.0307326i | ||||
\(957\) | 12.1070 | + | 0.0838455i | 0.391362 | + | 0.00271034i | ||||
\(958\) | −2.76663 | − | 7.60127i | −0.0893859 | − | 0.245586i | ||||
\(959\) | 32.8804 | + | 5.55546i | 1.06176 | + | 0.179395i | ||||
\(960\) | −3.41048 | + | 5.81377i | −0.110073 | + | 0.187639i | ||||
\(961\) | −6.09969 | − | 34.5930i | −0.196764 | − | 1.11590i | ||||
\(962\) | 0.297342 | − | 0.515012i | 0.00958670 | − | 0.0166047i | ||||
\(963\) | −6.71273 | − | 19.2694i | −0.216315 | − | 0.620947i | ||||
\(964\) | 1.82971 | − | 1.05638i | 0.0589310 | − | 0.0340238i | ||||
\(965\) | 23.8739 | − | 20.0326i | 0.768528 | − | 0.644871i | ||||
\(966\) | 18.7683 | + | 15.7412i | 0.603860 | + | 0.506463i | ||||
\(967\) | −3.82228 | + | 21.6772i | −0.122916 | + | 0.697093i | 0.859607 | + | 0.510955i | \(0.170708\pi\) |
−0.982524 | + | 0.186138i | \(0.940403\pi\) | |||||||
\(968\) | −2.20969 | + | 2.63341i | −0.0710222 | + | 0.0846410i | ||||
\(969\) | −61.2325 | + | 10.3602i | −1.96707 | + | 0.332819i | ||||
\(970\) | 31.3649 | + | 11.4159i | 1.00707 | + | 0.366543i | ||||
\(971\) | −23.3166 | −0.748265 | −0.374133 | − | 0.927375i | \(-0.622060\pi\) | ||||
−0.374133 | + | 0.927375i | \(0.622060\pi\) | |||||||
\(972\) | −2.17382 | − | 15.4361i | −0.0697253 | − | 0.495115i | ||||
\(973\) | −30.2625 | − | 17.1846i | −0.970171 | − | 0.550912i | ||||
\(974\) | 6.18117 | − | 16.9826i | 0.198057 | − | 0.544158i | ||||
\(975\) | 29.0732 | − | 4.91904i | 0.931087 | − | 0.157535i | ||||
\(976\) | −3.29907 | + | 3.93168i | −0.105601 | + | 0.125850i | ||||
\(977\) | −24.2880 | − | 4.28263i | −0.777041 | − | 0.137013i | −0.228957 | − | 0.973437i | \(-0.573532\pi\) |
−0.548084 | + | 0.836423i | \(0.684643\pi\) | |||||||
\(978\) | −28.7716 | − | 5.27890i | −0.920013 | − | 0.168801i | ||||
\(979\) | −8.22511 | − | 9.80231i | −0.262876 | − | 0.313283i | ||||
\(980\) | −13.2813 | + | 23.7834i | −0.424256 | + | 0.759733i | ||||
\(981\) | −40.6975 | + | 14.1775i | −1.29937 | + | 0.452652i | ||||
\(982\) | −4.63682 | + | 8.03121i | −0.147967 | + | 0.256286i | ||||
\(983\) | 1.76507 | + | 10.0102i | 0.0562969 | + | 0.319276i | 0.999931 | − | 0.0117137i | \(-0.00372868\pi\) |
−0.943634 | + | 0.330989i | \(0.892618\pi\) | |||||||
\(984\) | 6.32688 | + | 3.71148i | 0.201694 | + | 0.118318i | ||||
\(985\) | 16.2328 | + | 44.5992i | 0.517220 | + | 1.42105i | ||||
\(986\) | 11.8714 | − | 4.32085i | 0.378064 | − | 0.137604i | ||||
\(987\) | −17.3140 | + | 30.0047i | −0.551112 | + | 0.955059i | ||||
\(988\) | −2.10243 | − | 11.9235i | −0.0668874 | − | 0.379337i | ||||
\(989\) | 44.1716 | + | 25.5025i | 1.40457 | + | 0.810931i | ||||
\(990\) | −32.1014 | − | 0.444652i | −1.02025 | − | 0.0141320i | ||||
\(991\) | 6.38576 | + | 11.0605i | 0.202850 | + | 0.351347i | 0.949446 | − | 0.313931i | \(-0.101646\pi\) |
−0.746595 | + | 0.665279i | \(0.768313\pi\) | |||||||
\(992\) | 6.22935 | − | 5.22704i | 0.197782 | − | 0.165959i | ||||
\(993\) | 26.5537 | + | 22.5964i | 0.842656 | + | 0.717075i | ||||
\(994\) | 16.2588 | + | 13.4457i | 0.515699 | + | 0.426473i | ||||
\(995\) | −17.2265 | + | 20.5297i | −0.546116 | + | 0.650835i | ||||
\(996\) | 5.56268 | − | 4.60238i | 0.176260 | − | 0.145832i | ||||
\(997\) | −4.57970 | + | 12.5826i | −0.145041 | + | 0.398496i | −0.990846 | − | 0.134995i | \(-0.956898\pi\) |
0.845806 | + | 0.533491i | \(0.179120\pi\) | |||||||
\(998\) | − | 25.6434i | − | 0.811728i | ||||||
\(999\) | 1.84083 | + | 0.0382503i | 0.0582412 | + | 0.00121018i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.z.a.293.9 | yes | 144 | |
7.6 | odd | 2 | inner | 378.2.z.a.293.4 | yes | 144 | |
27.20 | odd | 18 | inner | 378.2.z.a.209.4 | ✓ | 144 | |
189.20 | even | 18 | inner | 378.2.z.a.209.9 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.z.a.209.4 | ✓ | 144 | 27.20 | odd | 18 | inner | |
378.2.z.a.209.9 | yes | 144 | 189.20 | even | 18 | inner | |
378.2.z.a.293.4 | yes | 144 | 7.6 | odd | 2 | inner | |
378.2.z.a.293.9 | yes | 144 | 1.1 | even | 1 | trivial |